Find the ratio between TSA of a cylinder to CSA given that its height and radius are $7.5$ and $3.5$ cm.

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Solution

Given radius of the cylinder $(r) = 3.5$ $c m$
height of the cylinder $(h) = 7.5$ $c m$

curved surface area(CSA) $= 2 π r h = 2 π \times 3.5 \times 7.5 = 52.5 π c m$

total surface area(TSA) $= 2 π r h + 2 π r^{2} = 2 π \times 3.5 \times 7.5 + 2 π \times {3.5}^{2} = 52.5 π + 24.5 π = 77 π c m$
Ratio $= \frac{T S A}{C S A} = \frac{77 π}{52.5 π} = 1.47$

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