The circumference of the base of a cylinder is 24 pi mm A similar cylinder has a base with circumference of 60 pi mm The lateral area of the larger cylinder is 210 pi mm squared What is the lateral area of the smaller cylinder?

The cylinders are similar, so their lateral areas scale by the square of the ratio of their corresponding lengths. The circumference ratio of the smaller to the larger cylinder is 24π ÷ 60π = 0.4, so the smaller lateral area is 210π × (0.4)² = 33.6π mm². Therefore, the correct choice is 33.6π mm².

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