- #1

PhysDrew

- 64

- 0

## Homework Statement

Use a triple integral to calculate the volume of the solid enclosed by the sphere

x^2 + y^2 + z^2=4a^2 and the planes z=0 and z=a

## Homework Equations

Transform to spherical coordinates (including the Jacobian)

## The Attempt at a Solution

I'm stuck, as the radius of the sphere is not constant through the area of integration due to the plane z=a. It looks like I should split this integral up, but I'm just not sure on how to do it. It looks like the angle rho is (pi)/3 when the radius of the sphere(2a, from the origin) hits the z=a plane. Please help!