# Cups A and B are cone shaped and have heights of #35 cm# and #29 cm# and openings with radii of #12 cm# and #16 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

Aug 8, 2016

#### Explanation:

Volume of Cup

Volume of Cup

Since volume of

Now we can write

or

where