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Chapter 6: Q. 27 (page 556)

The work required to pump all of the water out of a cone with top radius 3.5 feet and height 4 feet.

Short Answer

Expert verified

Workdone=15,073,100J

Step by step solution

01

Step1. Given Information

Top radius=3.5feet

height=4feet

02

Step2. Calculate

1).dVol=Aready=蟺r2dy=蟺(52-y2)dy2).dF=蟺(52-y2)*98003).dw=dF*(4-y)W=鈭�y1y2蟺(52-y2)dy*9800*(4-y)y1=-5,y2=0=9800鈭�-50(52-y2)(4-y)dy=9800鈭�-50(100-25y-4y2+y3)dy=9800[100y-25y22-4y33+y44]-50=0-9800[100(-5)-25(-5)22-4(-5)33+(-5)44]=15,073,100J

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