Question

A swimming pool is shaped like a cylinder. It has a height of 4 feet and a base radius of 5 feet. The pool is being filled with water at a rate of 10 gallons per minute. About how long will it take to fill the pool if 1 cubic foot is about 7.5 gallons? Round to the nearest whole minute.

Answer 1

236 minutes

Explanation:

You want to know the time to fill a cylindrical pool with radius 5 feet and depth 4 feet if 1 cubic foot is 7.5 gallons and the fill rate is 10 gallons per minute.

Volume

The volume of the pool is ...

V = πr²h

V = π(5 ft)²(4 ft) = 100π ft³ ≈ 314.159 ft³

Time

The time to fill the pool will be found by dividing the number of gallons by the fill rate in gallons per minute.

t = V/rate

t = (314.159 ft³)(7.5 gal/ft³)/(10 gal/min) ≈ 236 min

It will take about 236 minutes to fill the pool.

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