### Instruction: A round pizza is $\frac13$ of an inch thick and has a diameter of 12 inches. It is cut into 12 congruent pieces. What is the number of cubic inches in the volume of one piece? Express your answer in terms of $\pi$.### Response: Let's start out by finding the volume of the whole pizza.
The formula for the volume of a cylinder is $\pi*r^2*h$.
That's right. And the radius is half of the diameter, so the radius is 6.
And the height is $\frac{1}{3}$ of an inch.
So the volume of the whole pizza is $\pi*6^2*\frac{1}{3}$ which is $12\pi$.
So if we divide the volume of the pizza by the number of slices, we will get the volume of one piece.
Right. $12\pi / 12$ is just $\pi$.