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AbdurRakib
How many cylindrical oil drums, with a diameter of 1.5 feet and a length of 4 feet would be needed to hold the contents of a full cylindrical fuel tank, with a diameter of 12 feet and a length of 60 feet?

(A) 640

(B) 720

(C) 840

(D) 880

(E) 960

Volume of a cylinder \(= πr^2h\)

The volume of a cylinder with diameter 12 (radius 6) =\(= π6^2h = π36*60=36*60*π\)

The volume of a cylinder with diameter 1.5 (radius 0.75) =\(= π(0.75)^2h = π0.75*0.75*4= 0.75*0.75*4*π\)

The number required cylindrical oil drums \(= \frac{36*60*π}{0.75*0.75*4*π}=\frac{36*60*π*100*100}{75*75*4*π}=960\)

The answer is \(E\)
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