Solve the problem.
-A swimming pool has the shape of a box with a base that measures 29 m by 15 m and a depth of 3 m. How much work is required to pump the water out of the pool when it is full?
A) 1,957,500 J
B) 19,183,500 J
C) 38,367,000 J
D) 72,765,000 J

Question

Solve the problem.   
-A swimming pool has the shape of a box with a base that measures 29 m by 15 m and a depth of 3 m. How much work is required to pump the water out of the pool when it is full?
A) 1,957,500 J
B) 19,183,500 J
C) 38,367,000 J
D) 72,765,000 J

Quizplus · Accepted Answer

The work required to pump the water out of the pool is equal to the weight of the water multiplied by the height to which it must be pumped. The weight of the water is equal to its density multiplied by its volume. The volume of the water is equal to the area of the base of the pool multiplied by its depth. The height to which the water must be pumped is equal to the depth of the pool. Therefore, the work required to pump the water out of the pool is:W = ρVghW = (1000 kg/m^3)(29 m x 15 m x 3 m)(9.8 m/s^2)W = 19,183,500 J

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