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## Homework Statement

A cylindrical drill with radius r1 is used to bore a hole throught the center of a sphere of radius r2. Find the volume of the ring shaped solid that remains.

## Homework Equations

x=r*cos(theta)

y=r*sin(theta)

## The Attempt at a Solution

i know that the boundaries are:

for theta: 0 to 2*pi

for r: r1 to r2

i just dont know the equation to use in the double integral.. the equation of the cylinder is x^2+y^2= r1^2 i know that much.