A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

The total weight = 1286 × 62.4 = 80246 pounds.

Step-by-step explanation:

The formula of the volume of the sphere is

V = 4/3×π×r³

Given

d = 17 feet

d = 2r

r = d/2 = 17/2 = 8.5 feet

V = 4/3×π×r³

Since we need half of the volume as it is a hemispherical tank.

= 1286 ft³

Given that the weighs 62.4 pounds per cubic foot

Thus,  the total weight = 1286 × 62.4 = 80246 pounds.            

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