A cone with a base of radiusrand heightHis cut by a plane parallel to andhunits above the base. Find the volume of the solid (frustrum of a cone) below the plane.

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- Mar 14th 2010, 06:26 PMkaiser0792Volume Problem
A cone with a base of radius

*r*and height*H*is cut by a plane parallel to and*h*units above the base. Find the volume of the solid (frustrum of a cone) below the plane. - Mar 14th 2010, 06:50 PMskeeter
I assume since you posted this in the calculus section, you're looking for a solution involving a volume of revolution.

consider the line $\displaystyle y = \frac{r}{H} x$ rotated about the x-axis from $\displaystyle x = h$ to $\displaystyle x = H$

$\displaystyle V = \pi \int_h^H \left(\frac{r}{H} x\right)^2 \, dx

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