An above ground 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, of water in the pool?

Respuesta :

The volume of 6-inch water is approxmately127.23 ft³ :

V=πr²h

V=(3.14)(9)²(4.5)-(3.14)(9)²(6inch×1ft/12inch)

V=127.23 ft³
Step1 : Convert 6 inches to foot:
6 inches = 6 ÷ 12 = 0.5 feet

Step 2: Find the height of the water:
Height of the water = 4.5 - 0.5 = 4 feet

Step 3: Find the radius of the cylinder:
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet

Step 4: Find volume of water:
Volume = πr²h = π (9)² (4) = 1018 ft³ (Nearest cubic foot)

Answer: Volume =  1018 ft³

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