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Question

If radii of two cylinders are in the ratio $4 : 3$ and their heights are in the ratio $5 : 6$ , find the ratio of their curved surfaces.

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Solution

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$\frac{S_{1}}{S_{2}} = \frac{2 π r_{1} h_{1}}{2 π r_{2} h_{2}} = \frac{4 \times 5}{3 \times 6} = \frac{10}{9} = 10 : 9$

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