Triple Integral Volume

[bulldog022]

Set up and evaluate the triple integral to find the volume between the spheres x^2+y^2+z^2=1 and x^2+y^2+z^2=4 above the planes x=0,y=0.

 

[Deleted member 4993]

Set up and evaluate the triple integral to find the volume between the spheres x^2+y^2+z^2=1 and x^2+y^2+z^2=4 above the planes x=0,y=0.

If I were to do this problem, I would draw a careful sketch and set up the limits of integration.

I would convert the functions to spherical co-ordinates (r, Θ, Φ).

Then the limits and the integration will be fairly simple.

By the statement "above the planes x=0,y=0", I assume you meant x≥0 and y≥0.

Please show us what you have tried and exactly where you are stuck.

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