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Browse High School Higher-Dimensional Geometry
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Do cones or cylinders have edges?
    Latitude and longitude.
    MaximizIng the volume of a cylinder.



Volume of Liquid in a Cylinder [6/4/1996]
How can I calculate the area under a chord of a circle - the amount of liquid in a cylinder laid in the horizontal plane?

Volume of Liquid in a Cylindrical Tank [05/08/2000]
How can I calculate volume of liquid in a cylinder that's not full and lying horizontally?

Volume of Partially Full Cylinder on its Side [12/31/2001]
I am in charge of ordering fuel for our company, and the way the owner calculates the volume is via a grossly simplified percent full guesstimation...

Volume of Pyramid With Square Base [9/14/1996]
What is the volume of a pyramid with a a height of 20.6 meters and a square base with sides of 35 meters?

Volume of Soil [02/16/1999]
How many cubic feet of soil will be needed to fill a 2x6x4x4' by 8" trapezoidal garden bed?

Volume of Spherical Cap [02/06/1998]
I am trying to find the volume of a cap of a sphere with radius of 5. The cap has a height of 3 - it is as if the top of the sphere, 3 meters from the top, was severed from the rest of the sphere.

Volume of Spherical Cap [01/29/2002]
If a heavy sphere, whose diameter is 4 inches, be put into a conical glass full of water whose diameter is 5 and altitude 6 inches, how much water will run over? Ans: nearly 35/47 of a pint.

Volume of Tacoma Dome [01/16/2002]
I am trying to figure the volume of the Tacoma Dome in Tacoma, Washington.

Volume of the Frustum of a Pyramid [10/31/2001]
I am trying to figure out how to derive the formula for the volume of a frustum of a pyramid.

Volume of Water Passing through a Pipe [08/12/1997]
How many gallons of water per minute can a 12" cylinder pipe handle?

Volumes of a Cone and a Cylinder [07/09/2003]
Why is the volume of a cone a third of the volume of a cylinder?

Volume vs. Capacity [05/01/2002]
Can you explain the difference between the terms volume and capacity? Also mass and weight.

Water in a Horizontal Tank [8/7/1996]
What's the volume of water in a cylindrical tank 72" long and 36" in diameter, filled only to 4.25"?

Weight of a Whale [05/24/1999]
How do you find the weight of a whale?

What Constitutes a Prism? [06/10/1999]
If I am looking at an object that's shaped like a triangle, how do I know if it's a prism?

What Fraction of Water Overflows? [02/04/2002]
A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into it and its size is such that when it touches the sides of the conical vessel it is JUST immersed. What fraction of water overflows?

What is Geometry For? [03/01/2002]
What is geometry really for?

What Skew Lines Are and Aren't [01/14/2004]
A description of skew lines including diagrams and definitions.

When Does 2D Become 3D? [01/20/2003]
Is a piece of paper a 3D object when held up in space? Or is it a 2D object in 3D space?

Why Cubed? [11/27/2001]
Why do we use "cubed" for the volume of a figure?

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