# Cups A and B are cone shaped and have heights of #27 cm# and #24 cm# and openings with radii of #7 cm# and #14 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, 2018

**Since volume of contents in cup A** **c.cm is less than that of cup B** **c.cm , cup A will overflow.**

#### Explanation:

Height and radius of cup A is

Volume of cone is

Height and radius of cup B is

Since