# Cups A and B are cone shaped and have heights of #33 cm# and #37 cm# and openings with radii of #12 cm# and #7 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

Sep 17, 2017

No, it will only be filled

#### Explanation:

The formula for volume of a cone is

For Cup B,

As you can see, Cup A has a bigger volume then Cup B, since

I hope I helped!