Cups A and B are cone shaped and have heights of 32 cm and 24 cm and openings with radii of 9 cm and 5 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
Jul 14, 2018

7.41cm

Explanation:

Volume of Cup A
V=1/3pir^2h
V=1/3pitimes9^2times32
V=864pi

Volume of Cup B
V=1/3pir^2h
V=1/3pitimes5^2times24
V=200pi

If Cup B was poured into Cup A, then Cup A will not overflow since it can hold a volume of 864pi

To find the height of of water in Cup A,
1/3pitimes9^2h=200pi
27pih=200pi
27h=200
h=200/27=7.41cm