# Homework Help: Find the volume of a described solid

1. Dec 11, 2004

### Physicsisfun2005

I don't have the answers in the back of my book and I really wanna know if i did this correctly since its graded. the Problem is: Let the region bounded by $$x^2+y^2=9$$ be the base of a solid. Find the Volume if cross sections taken perpendicular to the base are isosceles right triangles.
i know a triangle is $$.5bh$$ and the base of it will be $$\sqrt{9-x^2}$$ so for volume the final answer is $$\pi\int 4.5-.5x^2 dx$$ with the limits from -3 to 3 and i get $$18\pi$$ for volume..................is this right?????

Last edited: Dec 12, 2004
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