Math A hemispherical tank is filled with water and has a diameter of 4 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?

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  1046 pounds

Step-by-step explanation:

The volume of the hemisphere is given by the formula ...

  V = 2/3πr³

where r is the radius, or half the diameter.

The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...

 V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³

Then the weight of the water in the tank is ...

  (16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb

The total weight of the water is about 1046 pounds.

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