Question

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 7 feet and a height of 14 feet. Container B has a radius of 8 feet and a height of 10 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot? play

Answer 1

Answer: the volume of water remaining in Container A is 144.4ft³

Explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering container A,

Radius = 7 feet

Height = 14 feet

Therefore,

Volume of water in a completely filled container A is

3.14 × 7² × 14 = 2154.04 ft³

Considering container B,

Radius = 8 feet

Height = 10 feet

Volume of water that will fill container B is

3.14 × 8² × 10 = 2009.6 ft³

Therefore, the volume of water remaining in Container A is

2154.04 - 2009.6 = 144.4ft³