# Cups A and B are cone shaped and have heights of #32 cm# and #33 cm# and openings with radii of #16 cm# and #17 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

Cone B has a greater volume than cone A, so if its contents are all poured into A, it will overflow.

#### Explanation:

Volume of cone A

A

Vol. A

Vol. B

Vol. B

Cone B has a greater volume than cone A, so if its contents are all poured into A, it will overflow.