16 articles trouvés pour ce sujet.
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The volume of a spherical bowl |
2021-04-23 |
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Danny pose la question : How many gallons of water in a glass bowl with the dimensions of 10 inches high
and 13.5 inches wide? Penny Nom lui répond. |
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Volume of a spherical cap |
2019-07-12 |
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Shanto pose la question : In a jar of water, we kept a sphere with radius r. Then 75% of its volume went under water. Find out the distance of the top of the sphere from the surface of the water. Penny Nom lui répond. |
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A hemispherical bowl |
2019-04-29 |
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Innocent pose la question : Abc is the section through a hemispherical bowl centre O radius 15cm. It contains water whose maximum depth is 8cm. What is the width of the water surface? Penny Nom lui répond. |
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Water in a spherical container |
2014-10-17 |
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Natalie pose la question : A spherical container with radius 10cm being filled with water such that the water level, h cm, in the container increase at a rate of 0.5 cm s^(-1). Show that the area of the horizontal surface of water, A cm^(2), in the container is given by A = π(20h - h^(2) ). Penny Nom lui répond. |
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Water in a hemispherical bowl |
2012-05-12 |
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Jimmy pose la question : A bowl of water, being a hemisphere has a radius of 36cm.
Water is filled in the bowl and has depth of 18 cm.
Find the surface area of the water? Penny Nom lui répond. |
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Great circle course |
2012-01-25 |
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Hervé pose la question : On the earth, the mathematical formula giving the distance
between two points, and the initial course for a boat on the great circle
is well known.
I need to find the inverse formula, ie knowing an initial position on earth,
and the initial course of the boat, and the distance to run on the great circle,
the formula gives the final position (longitude and latitude). Robert Dawson lui répond. |
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A spherical ball in a conical wine glass |
2011-10-26 |
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Jules pose la question : A heavy spherical ball is lowered carefully into a full conical wine
glass whose depth is h and whose generating angle (between the axis
and a generator) is w. Show that the greatest overflow occurs when the
radius of the ball is (h*sin(w))/(sin(w)+cos(2w)). Claude Tardif lui répond. |
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A triangle on a sphere |
2009-09-07 |
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Rohit pose la question : How do I find the angles of a triangle drawn on a sphere (spherical triangle)? Chris Fisher lui répond. |
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A spherical dome |
2009-08-03 |
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Eric pose la question : I have recently been asked to resurface a dome sculpture for my local council but i'm having problems working out the area. Here are the dimensions.
The height of the dome is 3m from the ground to the top of the arc. The arc itself from the ground rising up to the 3m point and back down, is 10m. The dome is 7m wide from one side to the other through the centre, at ground level.
I hope there is enough detail here. It's been a long time since i was in a maths class.
Thank you, hope to here from you soon! Stephen La Rocque lui répond. |
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A convex quadrilateral in spherical geometry |
2008-07-09 |
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Joan pose la question : What is the min and max number of obtuse angles possible ia a convex quadrilateral in Spherical Geometry?
I know that the Saccheri has 2 obtuse angles and the Lambert has one, but are there other possibilities?
Thanks for your help. Chris Fisher lui répond. |
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A spherical bowl |
2006-11-26 |
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Lynne pose la question : A spherical bowl of internal radius 15cm is partly filled with liquid. If the radius of the horizontal liquid surface is 12cm, calculate (taking the value of pi to be 3.142), the height of this liquid surface above the center of the bowl. Penny Nom lui répond. |
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The volume of water in a sphere shaped water tower |
2006-05-14 |
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Dan pose la question : I work in the water industry, providing automatic controls for water systems. I was wondering if there was a formula for calculating the volume of water in a sphere shaped water tower? With the use of a pressure gauge we know the elevation of zero water {the bottom of sphere) and the overflow elev. (near the top of sphere) I would like to calculate how many gallons are at any elevation in between. Stephen La Rocque lui répond. |
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Non-euclidean geometry |
2003-12-08 |
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Geoffrey pose la question : How can you use non-euclidean geometry to navigate on a sphere? What geometers did work in this area? Chris Fisher lui répond. |
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Non-Euclidean geometry |
2003-12-03 |
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Geoffrey pose la question : What are the applications of Non-Euclidean geometry (especially hyperbolic and spherical)? Walter Whiteley lui répond. |
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Surface area of a contact lens |
2000-06-06 |
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Evie Contreras pose la question : I would like to know how to calculate the surface area of a contact lens with a radius of 7mm? I know that the area of a circle is pi R squared, but a contact lens has a dome. Harley Weston lui répond. |
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Non-Euclidean Geometry |
1999-02-10 |
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Robert Smith pose la question : Is non-euclidean geometry necessary for the college bound student? I have students that are inerested in teaching math one day. My school is restricted to Euclidean Geometry. Walter Whiteley and Jack LeSage lui répond. |
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