Question

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is filled with water to 6 inches from the top of the pool, what is the volume to the nearest cubic foot or their water in the pool

Answer 1

The volume of the water in the pool is 1,017 cubic feet

Explanation:

we know that

The volume of a cylinder is equal to

`V=\pi r^(2) h`

we have

`r=18/2=9\ ft` ----> the radius is half the diameter

Remember that

`1\ ft=12\ in`

so

`6\ in=6/12=0.5\ ft`

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

`h=4.5-0.5=4\ ft`

assume

`\pi =3.14`

Find the volume of the water

`V=(3.14)(9^(2))(4)`

`V=1,017\ ft^3`