# Cups A and B are cone shaped and have heights of #32 cm# and #12 cm# and openings with radii of #15 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

Jul 31, 2018

Cup A will be filled to a height of

#### Explanation:

Volume of Cup A

Volume of Cup B

Therefore, when Cup B is poured into Cup A, Cup A will not overflow

To find the height, we let