A hemispherical tank is filled with water and has a diameter of 20 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?

Solution:

Given, diameter of tank = 20 feet

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

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

Volume of the hemisphere = 2 / 3 × π × 10³

Volume of the hemisphere = 2095. 23 feet³

Now, given that water weighs 62.4 pounds per cubic foot,

∴Total weight of the water = 62.4 × 2095.23 = 130742.35 pounds

A hemispherical tank is filled with water and has a diameter of 20 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?

Summary:

The total weight of the water in a hemispherical tank having a diameter of 20 feet and when water weighing 62.4 pounds per cubic foot, is 130742.35 pounds.