Question

A tank in the shape of a hemisphere has a radius of 8 feet. If the liquid that fills the tank has a density of 98.9 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answer 1

848,775 pounds

Explanation:

The volume of a hemisphere with radius 8 feet is:

V = (2/3)πr^3 = (2/3)π(8^3) = 268.08 cubic feet

The weight of the liquid is given by:

W = V * ρ * g

where ρ is the density of the liquid and g is the acceleration due to gravity. Plugging in the values, we get:

W = 268.08 * 98.9 * 32.2 = 848,774.7 pounds

Rounding to the nearest full pound, the total weight of the liquid in the tank is 848,775 pounds.