# Cups A and B are cone shaped and have heights of #39 cm# and #25 cm# and openings with radii of #17 cm# and #13 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 7, 2016

Cup A will not overflow. Cup A will be filled to a height of 28.12cm

#### Explanation:

cone's volume formula =

h=height, r=radius

Cup A, height 39, radius 17,

Cup B, height 25, radius 13,

As Cup A's volume is larger than Cup B's, Cup A will not overflow.

Now if