Question

a round swimming pool has a diameter of 14ft and a height of 4ft. the pool manufacturer recommends that you only fill it 42 inches. if you have to pay $0.18 for each gallon of water you pump into your pool, how much will it cost to fill the pool? remember each cubic foot is 7.48 gallons. note: round your answer to the nearest whole dollar. answer attempt 1 out of 2

Explanation:

Step1: Convert height to feet

42 inches = $\frac{42}{12}$ = 3.5 ft

Step2: Find radius

Diameter = 14 ft, so radius $r$ = $\frac{14}{2}$ = 7 ft

Step3: Calculate volume of water (cylinder volume: $V = \pi r^2 h$)

$V = \pi \times 7^2 \times 3.5$ = $\pi \times 49 \times 3.5$ ≈ 538.78 cubic ft

Step4: Convert volume to gallons

Gallons = 538.78 × 7.48 ≈ 4030.07 gallons

Step5: Calculate cost

Cost = 4030.07 × 0.18 ≈ 725.41, rounded to nearest whole dollar is 725

Answer:

725