A rectangular swimming pool 50 ft long, 20 ft wide, and 10 ft deep is filled with water to a depth of 9 ft. Use an integral to find the work required to pump all the water out over the top.

so I did
int(0,9) 62.4 * 1000 * (10-y) dy

is this the correct set up?

Question

A rectangular swimming pool 50 ft long, 20 ft wide, and 10 ft deep is filled with water to a depth of 9 ft. Use an integral to find the work required to pump all the water out over the top.

so I did 
int(0,9) 62.4 * 1000 * (10-y) dy

is this the correct set up?

anonymous · Answer

|dw:1351111137267:dw|$$\int\limits_{0}^{9}62.4\times1000(10-y)dy$$