Floating barrel

The barrel (cylinder shape) floats on water, the 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 answer:

V =  11343.3 dm3

Step-by-step explanation:

d=24 v=8 a=23 r2 = (a/2)2 + (rv)2 r2 = (a/2)2 + r22rv+v2 0 = (a/2)2 2rv+v2 2rv = (a/2)2 +v2 r=(v2+(a/2)2)/(2 v)=(82+(23/2)2)/(2 8)=6478512.2656 V=π r2 d=3.1416 12.26562 24=11343.3 dm3



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