# Cups A and B are cone shaped and have heights of #32 cm# and #37 cm# and openings with radii of #12 cm# and #19 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 4, 2018

Cup A will overflow

#### Explanation:

Volume of a cone is given by

where h is the height and r is the radius of the cone

Volume of Cup A:

Volume of Cup B:

If Cup B is full, which has a volume of