# Cups A and B are cone shaped and have heights of #37 cm# and #27 cm# and openings with radii of #9 cm# and #5 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

Apr 29, 2018

A is bigger in both dimensions, so will hold the contents of B at height

#### Explanation:

The volume of a cone of radius

A is bigger than B in both radius and height, so of course B's volume is less and A will not overflow. We have

The height of A after receiving the contents of B is given by