# Cups A and B are cone shaped and have heights of #25 cm# and #18 cm# and openings with radii of #8 cm# and #9 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

**The cup will not overflow and** **cm high of cup A will be filled.**

#### Explanation:

Height and radius of cup A is

Volume of cup A is

Height and radius of cup B is

Since

The ratio of radius and height of cup A is

The ratio of radius and height of content cone in cup A

is

The volume of content cone is