Question

A tank in the shape of a hemisphere has a diameter of 6 feet. If the liquid that fills the

tank has a density of 91.7 pounds per cubic foot, what is the total weight of the liquid
in the tank, to the nearest full pound?
ASAP PLEASE HELP ME

Answer 1

5186 lb

Explanation:

d = 6 ft

r = 6 ft/2 = 3 ft

volume of sphere = (4/3)πr³

volume of hemisphere = (1/2)(4/3)πr³

volume = (2/3)π(3 ft³) = 56.5486 ft³

weight = volume × density

weight = 56.5486 ft³ × 91.7 lb/ft³

weight = 5185.508 lb

Answer: 5186 lb