Thread: Find the volume using spherical coordinates.

Using spherical coordinates, evaluate the triple integral to find the volume inside the sphere: x² + y² + z² = 81 and outside the cylinder x² + y² = 49.

Thank you!

If you want some help you had better say what you have done and where you think you're going wrong.

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