Question

A cylindrical rain barrel with a diameter of 3.5 feet and a height of 5.5 feet is filled to a height of 0.5 feet. How many more gallons of water can the barrel hold? Round your answer to the nearest whole number. (1 ft3≈7.5 gal)

Answer 1

361 gallons

Explanation:

The volume of the empty space is a cylinder with a radius of 1.75 feet and a height of 5 feet. Its volume is given by ...

V = πr^2h = π(1.75 ft)^2·(5 ft) = 15.3125π ft^3

The number of gallons this space will hold is ...

(15.3125π ft^3)(7.5 gal/ft^3) ≈ 361 gal

The barrel can hold about 361 gallons more.