Find the volume of the region bounded by the sphere x^2+y^2+z^2=9 and the cone z=sqrt(x^2+y^2).
I have already turned into polar coordinates with 0<=rho<=3, 0<=phi<=pi/4, and 0<=theta<=pi/2 integrating (rho^4)(sin(phi)) drho dphi dtheta. Can someone help me get the answer out of this? I keep coming up with the incorrect answer, so calculations are off somewhere (it is possible that i have my boundaries wrong...).

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just off the bat, you that in spherical coordinates\[dV=rdrd\theta\phi\]you pick up an extra r

p being rho

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