# Cups A and B are cone shaped and have heights of #25 cm# and #27 cm# and openings with radii of #8 cm# and #6 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

#### Explanation:

The volume (

The volume (

Since, the volume of cone cup A is more than that of cone cup B hence when content of full cup B is poured into cup A, cup A wouldn't overflow.

Let

Now, the volume filled in cone cup A will be equal to the volume of full cone cup B hence we have

Thus, the cone cup A will be filled to a vertical height