Cups A and B are cone shaped and have heights of 12 cm and 15 cm and openings with radii of 5 cm and 8 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
Apr 6, 2017

You must find the volume of each cup

Explanation:

Cup A Area

V=πr^2 h/3
V=π5^2 12/3
V=π25*4
V=78.539*4
V=78.539*4
V = 314.156cm^3

Cup B Area

V=π8^2 15/3
V=π64 *5
V=201.062 *5
V= 1008.01cm^3

Therefore, Cup A will overflow as the volume or how much water cup B contains is more than the volume of Cup A