Find the height of a cylinder with radius of base $3.5 c m$ and lateral surface area $440 c m^{2}$ .

40 c m

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10 c m

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20 c m

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None of these

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Solution

The correct option is B $20 c m$
Surface area of cylinder $= 440 {c m}^{2}$
$\Rightarrow 2 π r h = 440 {c m}^{2} \Rightarrow 2 \times \frac{22}{7} \times 3.5 \times h = 440$
$\Rightarrow h = \frac{440 \times 7}{154} = 20 c m$

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