# Cups A and B are cone shaped and have heights of #32 cm# and #12 cm# and openings with radii of #18 cm# and #6 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

Mar 4, 2016

Find the volume of each one and compare them. Then, use cup's A volume on cup B and find the height.

Cup A will not overflow and height will be:

#### Explanation:

The volume of a cone:

where

**Cup A**

**Cup B**

Since