A 10-ft trough filled with water has semicircular cross section of diameter 4 ft. How much work is done in pumping all the water over the edge of the trough? Assume that water weighs .
The width of a layer below the rim of the trough is:Originally Posted by Yogi_Bear_79
So the volume of a layer of thickness below the rim is:
and so its mass is:
The work needd to lift this mass to the height of the rim is:
So the total work is: