Floating barrel

Barrel (cylinder shape) floats on water, top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm.

Calculate the volume of the barrel.

Correct result:

V =  11343.3 dm3

Solution:

d=24 v=8 a=23 r2=(a/2)2+(rv)2 r2=(a/2)2+r22rv+v2 0=(a/2)22rv+v2 2rv=(a/2)2+v2 r=(v2+(a/2)2)/(2 v)=(82+(23/2)2)/(2 8)=7856412.2656 V=π r2 d=3.1416 12.26562 24=11343.3 dm3



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