9. (Calculator) A cone-shaped freshwater reservoir is 20 ft in diameter across the top and 15...
9. (Calculator)
A cone-shaped freshwater reservoir is 20 ft in diameter across the top and 15 ft deep. If the reservoir is filled to a depth of 10 ft, how much work is required to pump all the water to the top of the reservoir.
Homework Answers
Clearly, by similar triangles,
The volume of the infinitesimal disk of water shown is
and so the weight (and the force needed to lift the disk) is
The height the disk must be lifted is (15-y)
The work done in this process is then
The total work is therefore.
W = 218166 Joules
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9. (Calculator)
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