Cups A and B are cone shaped and have heights of 32cm and 24cm and openings with radii of 9cm and 5cm, 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=13πr2h
V=13π×92×32
V=864π

Volume of Cup B
V=13πr2h
V=13π×52×24
V=200π

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

To find the height of of water in Cup A,
13π×92h=200π
27πh=200π
27h=200
h=20027=7.41cm