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

Respuesta :

Answer:

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

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=18/2=9\ ft[/tex] ----> the radius is half the diameter

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]6\ in=6/12=0.5\ ft[/tex]

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

[tex]h=4.5-0.5=4\ ft[/tex]

assume

[tex]\pi =3.14[/tex]

Find the volume of the water

[tex]V=(3.14)(9^{2})(4)[/tex]

[tex]V=1,017\ ft^3[/tex]

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