A hemispherical tank is filled with water and has a diameter of 17 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?

Answer 1

Formula for the volume of sphere is:

V_sphere = (4/3) πr³

Given: d=17 ft., r=8.5 ft.

And hemisphere is half of a sphere:

V_hemisphere = (2/3) πr³

V_hemisphere = (2/3) π(8.5)³

V_hemisphere ≈ 1286.22 cu. ft.

For the weight:

W = (1286.22)(62.4)≈ 80260.15 pounds

Answer 2

V =(1/2)(1/3)π(8.5)³

W = (V)(62.4)