# Need help setting up triple integral in spherical coordinates

## Homework Statement

Use spherical coordinates to find the volume of the solid bounded above by the sphere with radius 4 and below by the cone z=(x^2 + y^2)^(1/2).

## Homework Equations

All general spherical conversions
Cone should be $$\phi$$=$$\pi$$/4

## The Attempt at a Solution

So far I think the triple integral setup is
0$$\leq$$$$\rho$$$$\leq$$4
0$$\leq$$$$\theta$$$$\leq$$2$$\pi$$
0<$$\phi$$$$\leq$$$$\pi$$/4

My question is, for dV, do I need anything more than ($$\rho$$^2)sin$$\phi$$d$$\rho$$d$$\theta$$d$$\phi$$? Or do I need to figure out the intersection and volume that describes the area bounded above by the sphere and below the cone? Or do I already have that with my limits and standard dV question? (if I am correct so far). Any help would be great. Thanks.