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## Homework Statement

Find the volume and the centroid of the solid E that lies above the cone z=√x^2+y^2 and below the sphere x^2+y^2+z^2=49.

## Homework Equations

## The Attempt at a Solution

My bounds were:

[itex]\theta[/itex]=0 to 2[itex]\pi[/itex]

[itex]\varphi[/itex]=0 to [itex]\pi[/itex]/4

[itex]\rho[/itex]=0 to 7cos([itex]\varphi[/itex])

So my integral was:

∫∫∫p^2sin([itex]\varphi[/itex]) d(rho) d[itex]\varphi[/itex]) d(θ)

I just need help in if my bounds and integral are correct. If someone can help me with that, that would be great!