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Break the cone up into very small circular slabs and integrate from top to bottom. The thickness of each slab is dx. Let the height be h and center the base at the point (0,0) and let the radius be r such that if x=0 we have radius r and if x=h radius is 0. (it it the top of the cone and a point.. think of that as radius 0) Integrate Pixr^2(h-x)^2/h^2 from 0 to h and you will have the formula. Some pictures and intermediate steps will help. This info is available in any elementary calc book.
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What is the formula for radius of a cone?
The formula for radius of a cone is radius is equals to square root of volume times 3, which is divided by height times pie. Pie refers to 22 divided by 7.
What is the cone base formula?
Volume of a cone = 1/3*pi*radius2*height measured in cubic units The area of the cone's base = pi*radius2 measured in square units
The volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
The surface area formula for a right cone is the same as the surface area formula for an oblique cone?
False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.
What has greater volume a cone or frustum?
A large cone has a greater volume than a small frustum while a small cone has a smaller volume than a large frustum
