Math Help - a cylinder full of water

1. a cylinder full of water

A right cylinder is full of water with a height of 24 cm and radius
of 6
cm. It is placed into a right cylinder with a radius of 9 cm and
drilled
by the middle of its height. If we don't want the water to overflow
what must be the height of the cylinder with the radius of 9 cm?

2. Re: a cylinder full of water

You want:

$\pi(9^2-6^2)h\ge\frac{1}{2}\pi\cdot6^2\cdot24$

Solve for $h$.

Many Thanks.