Cups A and B are cone shaped and have heights of 24cm and 21cm and openings with radii of 8cm and 11cm, 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
Jan 9, 2018

Cone A will overflow because it has a volume 1052.434cm3 lower than Cone B.

Explanation:

First, find the volume of both cones using the equation V=πr2h3
V - Volume
r - radius
h - height

Cone A - V=π(8)22431608.495cm3
Cone B - V=π(11)22132660.929cm3

Cone B has a greater volume. Therefore, Cone A will overflow in the scenario presented.