Question

A backyard swimming pool is in the shape of a cylinder shown below. It has a diameter of 16 feet and a depth of 4 feet. If the pool is completely full, how many gallons will it hold given that there are 7.48 gallons of liquid per cubic foot? Round your answer to the nearest ten gallons.

Answer 1

`6015.8\ \text{gallons}`

Step-by-step explanation:

d = Diameter of pool = 16 feet

h = Depth of pool = 4 feet

r = Radius =
`(16)/(2)=8\ \text{feet}`

Volume is given by

`V=\pi r^2h\\\Rightarrow V=\pi 8^2* 4\\\Rightarrow V=804.25\ \text{feet}^3`

`1\ \text{feet}^3=7.48\ \text{liq gallon}`

`804.25\ \text{feet}^3=804.25* 7.48=6015.79\approx6015.8\ \text{gallons}`

The amount of water the pool will hold is
`6015.8\ \text{gallons}`.