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 8 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.

Answer 1

To determine the amount of water that was pumped from Container A to Container B, we need to calculate the volume of both containers and compare them.

The formula to calculate the volume of a cylinder is:
V = πr^2h, where r is the radius and h is the height.

The radius of Container A is 7 feet (14 feet / 2) and the height is 8 feet, so the volume of Container A is:
V = π * (7^2) * 8 = 471.24 cubic feet

The radius of Container B is 4 feet (8 feet / 2) and the height is 17 feet, so the volume of Container B is:
V = π * (4^2) * 17 = 452.16 cubic feet

Since Container B is smaller, the amount of water pumped from Container A to Container B is:
471.24 cubic feet - 452.16 cubic feet = 19.08 cubic feet.