







A barrel on its side 
20081113 

Dave pose la question : Question from Dave:
How many gallons are left in a 36x60 in. barrel (laying on its side) and has 16 in. of gasoline left. I have attached a diagram. Harley Weston lui répond. 





A tank, 5/9 full of water 
20200728 

Nat pose la question : A rectangular tank contains 1200cmsquare of water when it is 5 out of 9 full . Its base area is 80cmsquare . Find the height of the tank. Penny Nom lui répond. 





Filling a 48 cubic meter tank 
20200119 

kamohelo pose la question : An empty tank for storing water from a borehole has a volume of 480m3 if it is filled by a pump that pump water at a rate of 16L/s how many hours will it take the pump to fill this tank Penny Nom lui répond. 





A cylindrical water tank with a leak 
20170601 

Alexander pose la question : if a cylindrical water tank has diameter of 90cm and leak starts at the bottom 10 litres in an hour. how long will it take for the level to fall by 20cm Penny Nom lui répond. 





A 2 million gallon tank 
20160928 

Kimberly pose la question : I have a tank that is shaped like a cylinder, and it has to hold 2 million
gallons of water. There is a height limit of 30 ft.
I know the equation is V=pi x r squared x h but I don't know if I need anything
For the square foot of water. Penny Nom lui répond. 





A tilted cylinder tank 
20160328 

Astri pose la question : I have a problem determining the fluid level for tilted cylinder tank.
Actually I've found some solution here for horizontal cylinder tank. What if the cylinder
is tilted at a certain degree, for example 30 degree from the vertical axis.
Thank you. Penny Nom lui répond. 





A waste oil tank 
20150613 

Angela pose la question : a waste oil tank is 5 feet wide and 20 feet long, the empty tank on your truck holds 5000 gallons. If 7.48 gallons are in every cubic foot, what is the maximum depth the oil can be to completely fit into your truck? Penny Nom lui répond. 





A rectangular concrete tank 
20150324 

mwenge pose la question : What is the length ,width and height for the rectangular concrete tank that can have capacity of 50000 liters of water? Penny Nom lui répond. 





A word problem with fractions 
20150211 

Omokayode pose la question : A vehicle tank was 3/5 full of petrol. When 21 litres of fuel was added it was 5/6 full. How many litres of petrol can the tank hold? Penny Nom lui répond. 





A cubical tank 
20140401 

renzo pose la question : A cubical tank contains 2048 cubic ft of water when HALFFULL. Find the total area of the tank and the length of its diagonal Penny Nom lui répond. 





Related rates 
20140130 

Veronica pose la question : A container is the shape of an inverted right circular cone has a radius of 1.00 inches at the top and a height of 5.00 inches. At the instant when the water in the container is 1.00 inches deep, the surface level is falling at the rate of 2.00 inches/second. Find the rate at which the water is being drained. Penny Nom lui répond. 





Water use in a rectangular flush tank 
20130510 

milo pose la question : A rectangular flush tank 22" by 71/4 contains water to depth of 17" how many gallons of water will be saved if a conservation device reduces the capacity to 3/5 of this amount? And reduced to the nearest tenth Penny Nom lui répond. 





A tank with an inner walled compartment 
20121012 

don pose la question : I have a tank 20 feet diameter, 19' 8" tall with an inner walled compartment that has a 7' 6" radius arc with in the tank. I need to figure out the volume of the inner area and the volume of the larger area. Harley Weston lui répond. 





The volume of fluid in a tank 
20120906 

Dave pose la question : I have vertical round flat bottom tanks of various dimensions. It is easy to find total volume but I would like to know how to figure out the coversion factor to go from how many centimeters of liquid is in the tank to the number of total cubic meters of volume. So if my float gauge on the tank says there is 50 cm of fluid in the tank, how many cubic meter of total volume is there? Harley Weston lui répond. 





A cubical tank 
20120707 

jake pose la question : a storage tank is in the form of a cube. when it is full of water,the volume of water is 15.625 m cube. if the present depth of water is 1.3m, find the volume of water already used from tank Penny Nom lui répond. 





A water tank is in the shape of a truncated cone 
20120308 

Victoria pose la question : Suppose you have a water tank in the shape of a truncated cone. The larger diameter is K, the smaller diameter is K/2, and the height is also K (all measured in meters). The force of gravity on an object of mass, m, is F=9.8m (measured in Newtons). The density of the water is 1000 kilograms per cubic meter. What is the volume of the tank and how much mass will the tank have when it is full? Penny Nom lui répond. 





Measuring the liquid in a horizontal tank 
20120228 

Philip pose la question : I have a steel gas tank that is 3' dia X 5' length. The total volume is 1000 litres.
But how much is left when I use a stick and measure 6" from the bottom or 12" or 24" ??
Is there a formula to use for this task?
Thanks. Harley Weston lui répond. 





A 3000 gallon tank 
20111208 

Delores pose la question : I need to know what size to build a tank to hold 3000 gallons of water
one side needs to be 8 ft width X 6 ft height how long does it need to
be? Penny Nom lui répond. 





Water pouring into a conical tank 
20111121 

Patience pose la question : Hi my name is patience and I'm having a problem with this question.
Water pours into a conical tank of semi vertical angle 30 degrees at the rate of 4 cm^3/s, where h is the depth of the water at time t. At what rate is the water rising in the tank when h = 10 cm?
Thank you Penny Nom lui répond. 





The height of a fluid in a horizontal tank 
20110724 

jason pose la question : Same set up as many others, cylindrical tank on its side, but I am interested in defining the change in volume and/or fluid level as a function of time at a constant volumetric outflow. I plan on hooking a pump to the tank so "gpms' will be constant. I have a couple different sized tanks and pumps so I want a general equation. Thanks for your help. Harley Weston lui répond. 





Two conical tanks 
20110217 

rustom pose la question : Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe.
One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft.
The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft.
If the water is allowed to flow through the connecting pipe, find the level to which
the water will ultimately rise in the empty tank (Neglect the water in the pipe.) Penny Nom lui répond. 





Calibrating a conical tank 
20110205 

Bill pose la question : Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Stephen La Rocque and Penny Nom lui répond. 





A fence around a water tank 
20110201 

Heath pose la question : I am building a fence around a water tank. the fence is to be in the shape of a normal octagon. The tank has a circumference of 57 ' 6''. I would like the fence to be 3 ft from the tank at the skinny point . How would I calculate(for the simple guy) where to set each of my 4x4 posts at the 8 corners. Any help would be greatly appreciated. Harley Weston lui répond. 





A cylindrical tank 
20110116 

tom pose la question : A cylindrical tank, 1 ft in diameter, length 6 ft , is placed so that its axis
is horizontal. How many pounds of water will be used in filling it to a depth
of 9in. , if water weighs 62.4 lbs. per cu. ft.? Penny Nom lui répond. 





A 400 gallon oil tank 
20110108 

theresa pose la question : we have a oil tank that holds 400 gallons of oil currently there is 11/16 volume in the tank how many gallons are there? Harley Weston lui répond. 





A 400 gallon drum 
20101104 

Jerry pose la question : Question from Jerry:
I want to build A tank. able to hold 400 gallons of asphalt sealer it will be round . basically like A old fuel oil drum but made with heavy material . math ? was I want tank to hold 400 gallons I think the length of 60" would be perfect. I don't know what diameter or radius of tank needs to be . to make it A 400 Gallon tank Harley Weston lui répond. 





How many cubic metres of water can safely be stored in the tank? 
20100910 

susanna pose la question : This water tank is a perfect sphere with an inner radius of 12 metres. However, they used inferior materials to build the water tank, and the tank can only withstand a water pressure of 185 kiloPascals. Assume the density of water is exactly 1000 kg/m3, gravity is 9.8 metres/s2, and disregard atmospheric pressure.
How many cubic metres of water can safely be stored in the tank? Round DOWN to the nearest whole number (since rounding up could be catastrophic in this instance!), and please submit only a number with no other information. Robert Dawson lui répond. 





How many gallons do I need to finish filling the tank? 
20100614 

Bruce pose la question : I have a tank on it's side. 44" dia. by 72" long, I'm 6" from having tank full. How many gallons do I need to finish filling tank? Harley Weston lui répond. 





A fuel tank with a broken gage 
20100528 

Kinsley pose la question : Hello, I have a fuel tank with a broken gage. It is a 2000 gallon tank. The dimensions are 64" dia. x 146" long. The fuel gage doesn't work, so the only measurement I can do is put a stick in it to see what is left. Currently it is at 19". PLEASE NOTE: the tank is laying on its side, meaning the long side is on the ground. So, how do I determine how much fuel is in the tank by the inches remaining? Thank you very much. Tyler Wood lui répond. 





Liquid in a horizontal tank 
20100526 

Brian pose la question : I have a 50' long tank by 12' diameter it is lying down on it side with 12" of Liquid in the bottom i need to know how many gallons of fluid this is? Please Help, I was able to calculate out the Triangle but not the Sector! Harley Weston lui répond. 





The surface area of a tank 
20090625 

Charles pose la question : I need to calculate the external wall and top sqft surface area of a tank 54ft od x 15ft high with a dome top 54ft od x 8ft high. Penny Nom lui répond. 





Water drains from a conical tank 
20090311 

Tyler pose la question : Water drains from a conical tank at the rate of 5ft/min^3. If the initial radius of the tank is 4' and the initial height is 10'.
a) What is the relation between the variables h and r? (height and radius)
b) How fast is the water level dropping when h=6'?
Thanks for the help, i'm stumped. Penny Nom lui répond. 





A cubical tank that is 8 m on a side 
20090125 

gina pose la question : Suppose one edge of a cubic tank is 8m; Find the volume of the tank in cubic meters Penny Nom lui répond. 





The number of gallons in a tank 
20090119 

Jim pose la question : Hi, i need to know how many gallons of water can fit into our tank, and how to do the calculations my self. The tank is 72" round by 72" long, i would like some help. Thanks Jim. Harley Weston lui répond. 





Fuel in a tank 
20090116 

Steve pose la question : I am not a math expert and want help seeing how much fuel is in a tank at one given time the tank that i have is 27 inches round. It is 69 inches long. laying length ways. it holds 140 gallons of fuel at fill up. I do know that it would hold less at the bottom of the tank an more in the center. Is there anybody that could just give me the figures by the inch without a formula. thanks for your time Stephen La Rocque lui répond. 





The height of a tank 
20081026 

Kyle pose la question : If a water tank holds 750 cubic meters of water and it is 15 metres long and 10 metres wide how many meters tall is it ? Penny Nom lui répond. 





The amount of diesel fuel in a tank 
20081026 

Mike pose la question : I have an cylinder shaped oil tank that holds approx. 283 gals of diesel fuel. The tank is laying on on its side, (like taking a garbage can and laying it down on its side). What is the formula to calculate how much oil is in the tank at any given time. If the tank was sitting on end it would be easy to figure out, but it is not. Stephen La Rocque lui répond. 





The length of a tank 
20081001 

alex pose la question : I have a tank which I can only partly see. It is 70cms wide, 45 cm deep and hold 500litres. How long is it? Harley Weston lui répond. 





A rectangular tank of water 
20080902 

Angela pose la question : A rectangular tank is 80 ft long, 30 ft wide, and 20 ft deep. If 100,000 gallons of water were pumped into the tank, what would be the water rise? Penny Nom lui répond. 





The volume of a fuel tank 
20080801 

G. pose la question : I have a fuel tank that is 70 inches by 48 inches and 24 inches deep, how many imperial gallons does it hold? Victoria West lui répond. 





Gasoline in a cylindrical tank 
20080525 

Simon pose la question : A cylindrical tank with height 15m and diameter 2m is being filled with gasoline at a rate of 500L/min. At what rate is the fluid level in the tank rising?(1L = 1000cm^3). About how long will it take to fill the tank? Penny Nom lui répond. 





The surface area of a tank 
20080509 

jack pose la question : i'm looking for the square footage of a tank that is 10'diameter x 23'high,floor,ceiling and walls Penny Nom lui répond. 





The volume of a tank 
20080127 

Fred pose la question : A cubic tank holds 1,000 kilograms of water what are the dimensions of the tank in meters? Harley Weston lui répond. 





A cylindrical tank 
20071116 

Mario pose la question : I want to determine how many gallons i have inside a cylinder (tank) that is resting on its side (the Height), NOT standing up.
I know V=pi x r2 x H. And 1 cubic foot = 7.48 gallons. Here are the dimensions r=2' H=20'. Now my question is how do I determine how much
liquid i have inside, if the level of the liquid is about 1/2 of the way of its Diameter (in other words 2'). Remember this cylinder is lying
on its side. Penny Nom lui répond. 





Can you tell me how many gallons it holds? 
20070925 

Jeff pose la question : Hi my water tank is 10ft long and 45" around,can you tell me how many
gallons it holds.thankyou jeff Penny Nom lui répond. 





Water in a conical tank 
20070910 

Greg pose la question : Joe is conducting an experiment to study the rate of flow of water from a conical tank.
The dimensions of the conical tank are:
Radius at the initial water level = 13.7 cm
Radius at the reference point = 12.8 cm
Initially the tank is full of water. There is a circular orifice at the bottom of the conical
tank with a diameter of 0.635 cm. The water drains from the conical tank into an empty
cylindrical tank lying on its side with a radius of 0.500 ft and a length L (ft).
Joe observed the water discharged with an average velocity of 1.50 m/s as the water level
lowered from the initial height of 14.0 cm to 5.00 cm in the conical tank. Answer the
following:
1. If the initial height of water in the conical tank is 14.0 cm (measured from the
reference point, see Fig. 1), how long in seconds will it take for the water level to drain to
a height of 5.00 cm?? NOTE: Height refers to the vertical height.
What formula would I use to find out how long in seconds it takes for the water level to drop? Harley Weston lui répond. 





How many gallons of water 
20070619 

Marie pose la question : A water treatment plant is built with three cylindrical tanks to contaim the
water for a town. Each tank has a radius of 15 feet and a depth of 25 ft.
If there are about 7.5 gallons in a cubic foot of water, approximately
how many gallons of water can be treated at the plant at any one time? Stephen La Rocque lui répond. 





Water tank volume 
20070529 

Cecelia pose la question : I HAVE A SEMI CIRCULAR TANK AGAINST A WALL MEASURING 6'10" ACROSS THE WIDEST PART AND 3' FROM THE WALL TO THE FRONT OF THE TANK. THE DEPTH IS 14". PLEASE HELP ME TO CALCULATE THE VOLUME OF WATER IN THE TANK. Stephen La Rocque lui répond. 





A formula for figuring a tanks volume at various levels 
20070120 

Dave pose la question : I know there has to be a general formula to figure out a tanks volume where as you know the total volume but you need to know what it will hold at various levels measured in 1/8th inches in depth and that you may be able to plug this formula into a program like say excel and thus create a chart unique to that tank. But for the lack of me I can not figure it out. Stephen La Rocque lui répond. 





Depth and volume in a cylindrical tank 
20070120 

Andy pose la question : I need to fill a 10 foot diameter by 35 foot long cylinder 85% full. Is there a way to calculate at what depth equals 85%? ie, if I put a stick in the tank would it be at 8.5 feet? Stephen La Rocque lui répond. 





A rectangular tank 
20060919 

Milton pose la question : What size rectangular tank will I need to hold 841.5 gallons of water. The water level is 3'0" from the bottom of tank. Penny Nom lui répond. 





The capacity of our hexagon fish tank 
20060726 

Doug and Andrea pose la question : My name is Andrea and my son, Doug, and I were wondering what the capacity of our hexagon fish tank was but it’s been so long since I’ve been to school that I’ve forgotten the formula to do so. Would you please help us? The dimensions are: 27 ¾ W x 24L x 29H or one side (glass panel) is 14W x 29H. Penny Nom lui répond. 





The number of gallons in a tank 
20060309 

Doug pose la question : We have a round tank that is 216 inches long 64 inches wide across ; how do we find the number of gallons it could hold ? Stephen La Rocque lui répond. 





Related rates and an oil spill 
20060212 

Brandon pose la question :
An Oil Tanker Spills 100,000 cubic meters of oil, which forms a slick that spreads on the water surface in a shape best modeled by a circular disc is increasing at a rate of 3m/min (it doesn't state what is increasing at 3m/min, so I'm assuming Radius until I can ask my teacher.) At t=T, the area of the "circular" slick reaches 100pi Sq. meters.
A) how fast is the area of the slick increasing at t=T
B)How fast is the thickness of the slick decreasing at t=T
C)Find the rate of change of the area of the slick with respect to the thickness at t=T.
Penny Nom lui répond. 





Volume of a tank 
20050911 

Jim pose la question : We own an Rv and need to actually know the volume of our fresh water tank. I think I'm getting the run around from the manufacturer. I'm unable to locate my chemistry books from from collage. I know there is a formula for the volume of a rectangle some place. Penny Nom lui répond. 





Gallons in a tank 
20050402 

Jim pose la question : Would you be so kind as to help me with a problem? My memory has failed me in remembering how to calculate how much liquid in gallons a tank will hold. The tank is 8 feet long and 44 inches in diameter. Penny Nom lui répond. 





Gasoline in a cylindrical tank 
20050323 

Jennifer pose la question :
Gasoline is stored in a tank which is a cylinder on its side. Height of fuel is "h" meters and the diameter is "d". The length is "l".
I need to find the amount of gas in the tank when the height is h and also to calculate the fraction of how full it is.
Also, the part I am really confused on is this one,
E(h/d) is the error of the function of h/d, when h/d is used to measure how full the tank is. For what value of h/d is the error maximal?
Penny Nom lui répond. 





The volume of a stock tank 
20050313 

Cord pose la question : I am a farmer and I have recently installed a new stock tank which is 1650" in circumference and 10' deep. How many gallons of water will it hold? Penny Nom lui répond. 





Volume of a fuel tank 
20040301 

Mike pose la question : I have a fuel ank for my big truck that has a radius of 24inches and a length of 65 inches. I am trying to compute the volume of fuel in the tank. I tried pie x the radius squared times the length but no usable results.
Can you help me please? Penny Nom lui répond. 





A pyramidshaped tank 
20040213 

Annette pose la question : The base of a pyramidshaped tank is a square with sides of length 9 feet, and the vertex of the pyramid is 12 feet above the base. The tank is filled to a depth of 4 feet, and water is flowing into the tank at a rate of 3 cubic feet per second. Find the rate of change of the depth of water in the tank. (Hint: the volume of a pyramid is V = 1/3 B h , where B is the base area and h is the height of the pyramid.) Harley Weston lui répond. 





A fish tank 
20031126 

Bill pose la question : How do I work out the volume and weight of water in a fish tank that is 36in x 14in x 12in? Penny Nom lui répond. 





Water in a tank 
20030902 

A parent pose la question : if a tank is 48 inches long 14 inches wide and 18 inches deep if a yardstick was inserted into the tank and measured 2 inches of water in the tank how many gallons of water would be in the tank. Penny Nom lui répond. 





The volume of a fuel tank 
20030816 

Phil pose la question : I hope you can help me out with a small problem. My boat has a fuel tank measuring 1680mm long x 630mm wide x 130mm high. Can you tell me how much fuel it will hold in both litres and imperial gallons. Penny Nom lui répond. 





The weight of a fish tank 
20030520 

A ponderer pose la question : I had a question pertaining conversion units..I have a fish tank at home and the dimensions are 24, 44, and 48 inches, I want to find out how much it weighs in pounds when filled up with water...knowing water is 62.4 pounds per cubic feet...do I just divide the 62.4 pounds to 12 because I"m trying to find out through cubic inches. Penny Nom lui répond. 





Two tanks of water 
20021108 

A student pose la question : A 2000 L tank containing 550 L of water is being filled with water at the rate of 75 L per minute from a full 1600 L tank. How long will it be before the two tanks have the same amount of water? Penny Nom lui répond. 





Filling a tank 
20010102 

Liting pose la question : Water flows into a rectangle tank which measures 4 m by 3 m by 2.8 m through a cylindrical pipe of radius 2.4 cm. If the rate at which the water flows into the tank is 8 km/h, find how long it takes to fill the tank. Penny Nom lui répond. 

