Ground level The rectangular cistern (storage tank for rainwater) shown has its top 15 ft below ground level. The cistern, currently full, is to be emptied for inspection by pumping its contents to ground level. Assume that the water weighs 62.2 lb/ft3. 15 15 ft 30 24 ft Complete parts (a) 10 ft a. How much work will it take the empty the cistern? Set up an integral to find the work done.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter63: Volumes Of Pyramids And Cones
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6.5.5 Please help me solve these math practice questions.

Ground level
The rectangular cistern (storage tank for rainwater) shown has its
top 15 ft below ground level. The cistern, currently full, is to be
emptied for inspection by pumping its contents to ground level.
Assume that the water weighs 62.2 lb/ft3.
15
15 ft
30
24 ft
Complete parts (a)
10 ft
a. How much work will it take the empty the cistern? Set up an integral to find the work done.
Transcribed Image Text:Ground level The rectangular cistern (storage tank for rainwater) shown has its top 15 ft below ground level. The cistern, currently full, is to be emptied for inspection by pumping its contents to ground level. Assume that the water weighs 62.2 lb/ft3. 15 15 ft 30 24 ft Complete parts (a) 10 ft a. How much work will it take the empty the cistern? Set up an integral to find the work done.
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