Cups A and B are cone shaped and have heights of #33 cm# and #23 cm# and openings with radii of #14 cm# and #7 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?
Cup A will be filled to a height of
Volume of Cup B
Volume of Cup A
Therefore, Cup A will not overflow if the volume of Cup B is poured into A
To find the height reached in Cup A, we can use what we already know -->