Question

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 18 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

After the pumping is complete, what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?
d = 14
d = 18
h = 18
h = 15
Container A
Container B

Answer 1

1046.1 ft³

Explanation:

V = πr²h

A: V = π(14/2)²(18) = 2770.9 ft³

B: V = π(18/2)²(15) = 3817.0 ft³

Empty portion of container B = B - A = 3817.0 - 2770.9 = 1046.1 ft³