# Math Help - Calc 3- Volume using spherical coordinates

1. ## Calc 3- Volume using spherical coordinates

Q: Use spherical coordinates to evaluate:

Where E is the region bounded by the spheres and.

A?: I put rho's limits from 4 to 7, phi's from 0 to pi, and theta's from 0 to 2pi. I evaluated the triple integral at {e^(-rho^2)/rho}* rho^2*sin(phi).

I may have set it up incorrectly. My final answer came out to be , which is not right.

Please help, I'd really appreciate your response.

2. ## Answer

Your answer should be -2 $pi$[ $e^{-49}-e^{-16}$].

What I think you did was forgot about re-substituting the u-substitution. u=(-p^2) and du=(-2p)dp.

3. Thank you.