Two similar cylinders have surface areas of 24 pi cm squared and 54 pi cm squared The volume of the smaller cylinder is 16 pi cm cubed What is the volume of the larger cylinder?

For similar cylinders, surface area scales with the square of the linear scale factor. The surface-area ratio is 54/24 = 9/4, so the linear scale factor from the smaller cylinder to the larger is 3/2. Volume scales by the cube of that factor: 16π × (3/2)³ = 16π × 27/8 = 54π cm³. Therefore, the larger cylinder’s volume is 54π cm³, choice D.

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