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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 ft3 ≈ 7.5 gal)

Respuesta :

The cylindrical swimming pool contain 4512 gallons of water, if a pool diameter has a diameter of 16 feet and a height of 3 feet.

Step-by-step explanation:

       The given is,

                Diameter of swimming pool is 16 feet

                Height of swimming pool is 3 feet

Step:1

        Formula for volume of cylinder is,

                            [tex]Volume, V=\pi r^{2} h[/tex]........................(1)

       Where, r - Radius

                    h - Height

       Formula for radius,

                                          [tex]r=\frac{d}{2}[/tex]

                                             = [tex]\frac{16}{2}[/tex]

                                          r = 8 feet

Step:2

         From equation (1)

                                        [tex]= \pi (8^{2} )(3)[/tex]

                                         [tex]= \pi (64)(3)[/tex]

                                         [tex]= \pi (192)[/tex]

                                     V  [tex]= 603.185[/tex] cubic feet

Step:3

          From given ( 1 cubic feet = 7.5 gallons )

                                    [tex]V = (603.185)(7.5)[/tex]

                                        [tex]= 4523.88[/tex]

                                    V ≅ 4524 gallons

Result:

          The cylindrical swimming pool contain 4512 gallons of water, if a pool diameter has a diameter of 16 feet and a height of 3 feet.

4512 mark me as brainliest pls!

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