- #1

- 467

- 0

## Homework Statement

A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow cylindrical core of height h. Show that the volume of this solid is independent of the radius of the ball.

## Homework Equations

[tex]

V = \int_{a}^{b} 2\pi x (f(x) - g(x)) dx [/tex]

[tex]

V = \int_{a}^{b} \pi ([f(x)]^2 - [g(x)]^2) dx

[/tex]

## The Attempt at a Solution

Am I allowed to use the radius of the cylinder? Then I can find the volume of the cylinder and then the radius of the sphere?

I can't really think of a way to do this without referring to any radius..