# Cups A and B are cone shaped and have heights of #32 cm# and #16 cm# and openings with radii of #15 cm# and #12 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 20, 2017

Cup A will not overflow

#### Explanation:

where

we have cups a & B

Cup A

Cup B

first we find the two volumes

now cup B is full and poured into cup A

we see

so cup A will not overflow

how high up will A be filled.

using the volume formula once more

where

that is from the top of the cup

from the bottom of the cup