Question

A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft^3 ≈ 7.5 gal

Answer 1

The volume of any cylinder is

π (radius)² (height) .

The pool's radius is 1/2 its diameter = 8 ft. So its volume is

π (8 ft)² (3 ft)

= π · (64 ft²) · (3 ft)

= π · 192 ft³

= 603.2 ft³ .

(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons