Question

A tank in the shape of a hemisphere has a radius of 3 feet. If the liquid that fills the tank has a density of 88.2 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answer 1

4988 pounds

Explanation:

Volume of Hemisphere

4/3 x π x r^3 = 4/3 x 3^3 x π = 4/3 x 27π = 36π = Volume of Sphere

To calculate volume of Hemisphere = 36π / 2 = 18π foot^3

Weight of the liquid

88.2 pounds / foot^3 means that every cubic foot weighs 88.2 pounds so

88.2 pounds x 18π = 4987.5925 which to the nearest pound = 4988 pounds.