Let Ax be the height of the water, p= 5 ft be the radius of the cylinder tank and d=62.4 lb/ft? be the weight-density of water.
Vslice=πr2h=π(5)2h=25π△xft3
Fslice=dV=62.4∗25π△x=1560π△x(lb)
Dslice=9−x
W=FsliceDslice=(1560π△x)(9−x)=1560π∫06(9−x)dx=1560π(9x−2x2)∣06=1560π(36)=56160π
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