Cylindrical 37801

A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m.
At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank?

Correct answer:

n =  12

Step-by-step explanation:

D1=0.8 m h1=1.5 m  D2=1.6 m h2=4.5 m  V1=π (D1/2)2 h1=3.1416 (0.8/2)2 1.50.754 m3  V2=π (D2/2)2 h2=3.1416 (1.6/2)2 4.59.0478 m3  N=V2/V1=9.0478/0.754=12  n=N=12=12   Verifying Solution:  n2=h1h2 D12D22=1.54.5 0.821.62=12



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