I have tried to calculate the volume of a cone with base radius "a" and height "h" using a triple integral. Either by hand or using a CAS calculator I get the same answer: a^2*h*pi. Can someone point out where is the error?

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- December 18th 2012, 10:59 AMBERMES39Cone volume with triple integral
I have tried to calculate the volume of a cone with base radius "a" and height "h" using a triple integral. Either by hand or using a CAS calculator I get the same answer: a^2*h*pi. Can someone point out where is the error?

- December 18th 2012, 12:49 PMa tutorRe: Cone volume with triple integral
Why not use polar cylindrical ?

- December 18th 2012, 12:53 PMebainesRe: Cone volume with triple integral
The height from the base to the surface of the cone is not , but rather should be . And I agree - using polar coordintes would make the integral much simpler to evaluae.