Using spherical coordinates, evaluate the triple integral to find the volume inside the sphere: x^{2}+ y^{2}+ z^{2}= 81 and outside the cylinder x^{2}+ y^{2}= 49.

Thank you!

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- December 13th 2012, 12:55 PMScary_JoeFind the volume using spherical coordinates.
Using spherical coordinates, evaluate the triple integral to find the volume inside the sphere: x

^{2}+ y^{2}+ z^{2}= 81 and outside the cylinder x^{2}+ y^{2}= 49.

Thank you! - December 13th 2012, 03:47 PMa tutorRe: Find the volume using spherical coordinates.
If you want some help you had better say what you have done and where you think you're going wrong.

- December 13th 2012, 04:42 PMhollywoodRe: Find the volume using spherical coordinates.
You should have the volume element in spherical coordinates somewhere - your textbook or lecture notes. So the only thing you need to set up is the limits of integration. I've found it helps to draw a picture.

So put all that together into a triple integral and show us what you get.

By the way, you can probably do this with a single integral in rectangular coordinates - using slices parallel to the x-y plane. Maybe you could use that to check your answer.....

- Hollywood