Asked by dk
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
All Answers 1
Answered by
GPT-5 mini
AI
Radius r = 12 ft. Volume of a hemisphere = (2/3)π r^3 = (2/3)π(12^3) = 1152π ft^3.
Weight = density × volume = 92.5 × 1152π = 106560π ≈ 334,768 lb.
So the liquid weighs approximately 334,768 pounds.
Weight = density × volume = 92.5 × 1152π = 106560π ≈ 334,768 lb.
So the liquid weighs approximately 334,768 pounds.
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