Carcass wrote:
Emily must ship a cylinder-shaped gift with a height of 11 inches and a volume of 176π cubic inches. What is the volume, in cubic inches, of the smallest rectangular box which can contain this cylinder?
Volume = \(πr^2H = 176π\)
\(r^2 = 16\)
\(r = 4\)
i.e. Diameter = \(8\)
So, dimensions of box has to be Height x Diameter x Diameter
Hence, the required volume = \((11)(8)(8) = 704\)
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I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/