# Cups A and B are cone shaped and have heights of #27 cm# and #24 cm# and openings with radii of #6 cm# and #11 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

Jun 11, 2016

#### Explanation:

The volume of a cone is found from

The volumes of the two cones are:

A:

B:

We can see that the volume of B is much bigger than that of A, so if the contents of A when full, are poured into B, it will not overflow.

How high will B be filled? This asks for "h".

The volume poured into B is