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	A window problem		2020-08-18
		Richard pose la question : Hello, I was hoping your math specialists could help me with some formulas. I have shapes with specific known variables need to calculate others.   Example: We make a straight legged arch, This shape has a width a overall height and a leg height, The leg height is always less then the overall, And the top is arched. We have the width, Height, and leg size.   Need to calculate the length of the curve and sq ft of the shape. Harley Weston lui répond.
	An octagonal pool deck		2020-05-30
		lauchie pose la question : need help on cut sizes and cut degrees on octagon pool deck for a 24 foot round pool Harley Weston lui répond.
	The side length of a hexagon		2020-02-05
		Rob pose la question : I have a hexagon that is 8 feet wide how long would the sides be? Penny Nom lui répond.
	The angle of a countersunk screw		2020-01-19
		Barbie pose la question : I need to be able to verify the angle used for the head of a countersunk screw. I have the diameter of the head, diameter of the shank and height between the two. I assume it would be considered a frustum. For example: A standard 90 degree metric flat head screw in an M2 diameter has a head diameter of 3.65mm, the actual thread diameter is 1.98mm and the height of the head is 1.20mm. How can I prove that it is a 90 degree angle? Harley Weston lui répond.
	Volume of a tree		2019-12-19
		Maria pose la question : I have trees for sale. I need to calculate the volume of a tree from base which is wider than the stem.The base will be used for the making of hurleys, similar to hockey sticks so the wider base is crucial. Penny Nom lui répond.
	A hexagonal planter		2019-11-19
		Colleen pose la question : I need to build a hexagon planter around a 32” square box. How long is each side of the hexagon? Penny Nom lui répond.
	A tube through a board at 45 degrees		2019-06-15
		Guy pose la question : I need to insert a tube 5/8" diameter into a board at a 45 degree angle. What size hole must I drill for the tube to fit snugly? Harley Weston lui répond.
	Subdividing land		2019-05-09
		Reuben pose la question : This is the measurements of my plot, A-B 46.7M, B-C 193.1, C-D 198.5 & D-A 208.25 (Clockwise naming of sides) angle A at 90 degrees. My questions is how do i subdivide this plot from the bottom having lines running parallel to C-D, eg two 2acre plots. the the remaining part becomes my compound (Uper part at line A-B) Harley Weston lui répond.
	7 spheres on a hexagonal tray		2019-01-14
		herm pose la question : what is the length of each side of a hexagonal tray, with the height of each side 0.75 inch, to hold seven spheres, each with a diameter of 3.00 inches? The spheres are placed such that each side of the hexagon is touched by one sphere at its midpoint (and the seventh sphere is place in the center of the "ring" of the other six spheres. Harley Weston lui répond.
	Two intersecting tubes		2018-08-15
		Tommy pose la question : Hi, I am trying to determine a mathematical model for two metal tubes joining at various degrees for weld. For instance, if I am trying to join the end of a tube to the side of another at a 90 degree angle, it will be a simple profile cut out of the joining tube. Where it gets tricky is if you want to join the new tube at a given angle. It would be very helpful if you could give insight as to how I can solve this problem or an equation I could work off of. Thanks for the help!! Edward Doolittle lui répond.
	The volume of a berm		2018-06-04
		Mike pose la question : Have a berm that is 700’ long, 29’ y’all and needs a 20’ top with 5-1 slope on one side and 3-1 slope in the other Penny Nom lui répond.
	Volume of liquid remaining in a tilted cylinder		2016-11-08
		Brian pose la question : I am trying to determine the amount of a liquid remaining in a 55 gallon drum when it is tilted at 45 degrees and the liquid level is low enough so that the liquid does not completely cover the bottom of the drum. Your help is greatly appreciated. Harley Weston lui répond.
	A deck that is half an ellipse		2016-02-28
		Steve pose la question : On your website, I was reading a question and your response from a girl named Angela in which you provided a formula by which her father, a welder, could figure out points on an arc corresponding to equal 3' intervals on a 30' chord where the vertex was 1' off the chord. Is there an equivalent formula when working with an ellipse? I suspect this change will make the calculations significantly more complex. I am building a deck that is half an oval, and would like to be able to mark out the perimeter by measuring the distance from regular intervals on the primary access to a corresponding point on the perimeter. I will then connect the points on the perimeter and cut a reasonably smooth arc. The length of the primary access will be 22' and width of the deck at the vertex is 9'. I would like to be able to know the distance from the primary axis to a point on the perimeter at equal intervals of 6" along the primary axis. Can you help? Penny Nom lui répond.
	Filling a pool with dirt		2015-05-01
		Mike pose la question : I have a hole which a 24 ft pool in it is 10" deep in the the centre and goes to 1" inch at the edge want to fill it in with dirt how many yards of dirt would I need to fill it in Penny Nom lui répond.
	A wireless fence		2015-04-18
		Dave pose la question : I'm buying a wireless fence to keep my pet in my yard. It has a half acre range. In a straight line how far would that be? Penny Nom lui répond.
	Bricks around a fire pit		2015-03-05
		Jayson pose la question : I have a round fire pit. It measures 25 inches in diameter. I have 12 inch long square bricks to go around it . My question is what degree do I cut the ends of these bricks to make them fit around this circle? The brick dimensions are 12"Lx6"Wx4"D. Harley Weston lui répond.
	Cutting a round cake so that it doesn't dry out		2014-08-26
		James pose la question : I'm wondering if there's a simple way to calculate the area between two parallel chords of a circle equidistant from its diameter, or if I have the area, to find the distance between the two chords. Here's my "problem". You may have heard of the way of cutting a round cake so that it doesn't dry out - make two parallel cuts (chords) the length of the cake, take the middle piece, then push the two pieces together. So I know the area of a 12" cake, and I want say, exactly an eighth of the cake. How wide do I cut the centre piece? Now to get even more difficult, the next day I want another eighth from the centre. How wide do I cut the next pieces, and so on...? Thanks, James Harley Weston lui répond.
	An oval pool		2014-06-21
		steve pose la question : I have a 16' x 28' oval pool that is buried 24" deep inground. The dig site is dug 2' wider all the way around the pool. I need to back fill this area with stone. I want to fill this area with 6 to 8" of stone. How many tons of stone will this take? Thanks you Steve Penny Nom lui répond.
	An octagonal pad		2014-04-25
		George pose la question : Hi, I need to pour a cement pad in the shape of an octagon that allows for 12" of clearance around the tank I will be putting on it. The tank has a radius of 16'. Penny Nom lui répond.
	A sand trench around a pool		2014-04-13
		steve pose la question : How sand is needed to back fill a trench around a 24ft dia. pool that is 26" deep by 2ft wide. Making the outside dia. 26ft. Thank You Penny Nom lui répond.
	Cutting a hexagon from a disk		2014-04-05
		Paul pose la question : I am a machinist and sometimes need to make a hex from round material. If I know the distance of the flat sides opposite one another of my hex, how can I calculate the size of material I need to turn to give me the right diameter to finish the part with six sides? Penny Nom lui répond.
	The area of a 5 sided lot		2014-03-15
		Michael pose la question : Question from michael: This lot is in feet. 59x154x109x188x137 per the plot plan Harley Weston lui répond.
	Rolls of window film		2014-02-14
		Travis pose la question : This question is probably close to the same question as "roll of paper" We have Rolls of Window Film that we are trying to figure out an equation for a spreadsheet that we can use to "inventory" our window film. We use a caliper tool to measure the thickness of the roll in millimeters. the core thickness = 1.90mm Full Roll thickness(including core) = 9.08mm to 9.12mm Film thickness = 0.06 Full Roll of Film is supposed to average 1200" of film What equation could we use to get the approximate inches left remaining on the roll if we measured the roll including the core with the Caliper tool in Millimeters? Harley Weston lui répond.
	conical lamp stand/staved wood		2013-12-07
		Henry pose la question : need to make lamp stand that is wooden staved; need it to be 25 inches at bottom and 10 inches at top; need to know angles for staves to be cut; the lamp stand will be rounded on a lathe and will be 40 inches tall John Lucas built one and it is pictured on his web page. thank you for any help/direction; I checked out the answered for cone shaped objects on your page but didn't find what I could use. thanks again. Henry--woodturner, parent teacher student . . . . . Harley Weston lui répond.
	A square inscribed in a circle		2013-10-14
		Jenn pose la question : Hello! I am about to buy a 7'9" round rug, but I want to have it cut down into a square. What's the largest square I can obtain from this? Thank you! Penny Nom lui répond.
	Dirt to fill a pool		2013-07-13
		Neil pose la question : I had a 24 foot diameter pool. The perimeter of it was at ground level. The pool sloped 1 foot deeper to the middle. In other words "a 1 ft. dish. How many cubic yards of dirt do I need to fill this hole? Penny Nom lui répond.
	A gravel pile in the shape of a triangular pyramid		2013-04-04
		Casey pose la question : Hello Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it. I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away. I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion. Thank you for any help. Casey Penny Nom lui répond.
	Question		2013-04-04
		Casey pose la question : Hello Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it. I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away. I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion. Thank you for any help. Casey Penny Nom lui répond.
	A label to cover a plastic cup		2012-10-23
		Kevin pose la question : I'm trying to make a label to cover the entire outer area or a plastic cup. I know there must be a way to figure out the dimensions needed, but I can't seem to figure it out. The circumference of the bottom of the cup is 21.4cm and the circumference at the top of the cup is 29.8cm. The cup is 14.5cm tall. What should the height of the arc from the plane connecting the two ends of the 21.4cm arc. I attached a diagram where x is the value I'm looking for. I'm guessing there is some simple relationship between the length of a line and the arc needed to turn that line into a perfect circle, but I don't know what it is. Can you figure this out and share it with me? Thanks. -Kevin Penny Nom lui répond.
	A tank with an inner walled compartment		2012-10-12
		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.
	Making a wind sock		2012-08-28
		John pose la question : I am trying to build a wind sock and need to be able to lay the shape out on cloth. I need the wind sock front opening (diameter) to be 3 1/2" and the rear opening diameter to be 1". The windsock needs to be 9 1/2" long. I tried using the example of the person trying to make a crayfish trap but got confused and could not figure out my numbers. Any help would be greatly appreciated. Thanks John Penny Nom lui répond.
	Measuring the liquid in a horizontal tank		2012-02-28
		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.
	Geometry Related Careers		2011-09-01
		Richard pose la question : Good morning, I am hoping to find a list of careers that would relate to geometric constructions and tessellations. I have searched the internet some and some of the sites I have found are a bit questionable or dated. Are there sites that Math Central would recommend? I could not find anything when I did a search on the site. Thanks in advance, RVD Walter Whiteley lui répond.
	Calibrating a conical tank		2011-02-05
		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.
	liquid in a 3/4 inch pipe		2009-06-30
		junior pose la question : We are in dilemma at my job. We need to figure out the formula for how much water can our pipe hold. It's inside diameter is 13/16" and is 50ft. long? Robert Dawson lui répond.
	Concrete around a pipe		2009-01-14
		Doug pose la question : How much concrete will i need for a hole that is 20 feet deep 20 inches in diameter with a 8-inch pipe in it. I need to know how much concrete on the outside of the 8-inch pipe. Penny Nom lui répond.
	A barrel on its side		2008-11-13
		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 perpendicular intersection of two barrel vaults		2006-07-21
		Neal pose la question : I'm wanting to build a series of architectural models of different roman and medieval buildings out of cardboard. Once I have perfected the models I want to print them out on card stock so that school kids (or anyone else) can make the buildings. A feature of many of these models is the cross or groin vault (a perpendicular intersection of two barrel vaults). A single barrel vault is easy to imagine as a plane (a rectangular piece of cardboard) that will be folded into a semi-circular arch. The intersection of a second barrel vault and this one is presenting me with problems. The second plane needs to have an ellipse cut into it so that when it is folded into the arch, it will mate up with the curve of the first barrel vault. Given that the two pieces of card have identical widths (and therefore identical arcs in cross section) is there a way to calculate the ellipse that needs to be cut so that it can be cut before the second arch is folded? Edward Doolittle lui répond.

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