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## Homework Statement

A cylindrical hole of radius R is drilled through the center of a sphere of radius 3. Use the method of cylindrical shells to find the volume of the remaining solid, given that the solid is 6 cm. high.

## Homework Equations

V= ∫2* ∏rh dr (shell method)

## The Attempt at a Solution

I think this is the form to be used for this problem, but I am probably mistaken.

2 * ∫2* ∏ * x (R^2 - x^2) dx with a= r and b= R

4∏ ∫x (R^2 - x^2) dx

Then I'm stumped on how to do this :/ Thank you for your help.