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How do you derive the formula of volume of the cone? - Answers

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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How do you derive the formula of volume of the cone? - Answers

https://math.answers.com/geometry/How_do_you_derive_the_formula_of_volume_of_the_cone

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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https://math.answers.com/geometry/How_do_you_derive_the_formula_of_volume_of_the_cone

How do you derive the formula of volume of the cone? - Answers

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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      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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