# Cups A and B are cone shaped and have heights of #32 cm# and #21 cm# and openings with radii of #13 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 28, 2016

cup B contents when poured into cup A will not cause overflow. cup A will be filled up

#### Explanation:

Volume of cone is

Cup A:

Given

Volume of cup A is

Cup B:

Given

Volume of cup B is

As volume of cup B is less than cup A, when the full contents of cup B are poured into cup A, it will not overflow.

The filled portion in cup A is also in the form of a cone. To determine how high it is, assume height=h and radius = 13 for the filled cone part.

Volume =