A hemispherical tank is filled with water and has a diameter of 22 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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Given :-

Diameter of tank = 20 feet

Radius of tank, r = 20/2 = 10 feet

To Find :-

Volume of the hemisphere

Formula to be used :-

Volume of the hemisphere = 2/3 × π × r³

Solution :-

Putting the values, we get

Volume of the hemisphere = 2/3 × π × r³

⇒ Volume of the hemisphere = 2/3 × 22/7 × 10 × 10 × 10

⇒ Volume of the hemisphere = 44000/21

⇒ Volume of the hemisphere = 2095. 23 feet³

Now, Total weight of the water

⇒ Total weight of the water = 62.4 × 2095.23

⇒ Total weight of the water = 130742.35 pounds

Hence, the Total weight of the water is 130742.35 pounds

Step-by-step explanation:

answer: there are 453.592 grams in a pound.