# Cups A and B are cone shaped and have heights of #32 cm# and #27 cm# and openings with radii of #12 cm# and #12 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

##### 1 Answer

May 24, 2018

#### Explanation:

Volume of a cone is given as:

We can see that both have the same radii, but A has a greater height, so A has a greater volume than B.

Volume of A:

Volume of B:

Volume of partly filled A is equal to the volume of B:

Well that's no surprise, since they both have the same radius. I would think this part of the question is incorrect.