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Math Help - Find the volume using spherical coordinates.

  1. #1
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    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!
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  2. #2
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    Re: 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.
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  3. #3
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    Re: 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
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