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5. A water tank (sce diagram below) has the shape of a trough whose uniform cross section is the lower
half of a circle of radius 10 ft. The length of the trough is 40 ft. The tank is filled with water to a depth of
4 ft. Water is being pumped out from the tank through its top. Find how much work has been done when
the depth of the water remaining in the tank is 2 ft. The weight density of water is 62.5 lb. per cubic foot.
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Expert Solution

Step 1

Given:

The radius of the tank is r = 10 ft

The length of the tank is h = 40 ft

The density of the water is $ρ$ = 62.5 lb/ft³

The initial depth of the water is y₁ = 4 ft

The final depth of the water is y₂ = 2 ft

The acceleration due to gravity is g = 32 ft/s²

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