The lateral surface area of a cylinder of height 10 cm is 100 ${cm}^{2}$ . Find the radius of its base.

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5 π

\frac{5}{π}

6 π

\frac{π}{5}

answer is B.

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Detailed Solution

Given that, the lateral surface area of a cylinder is A = 100cm2.
The height of the cylinder is h = 10cm.
The lateral surface area of a cylinder is LSA =

2 πrh

\Rightarrow 2 πrh = 100

\Rightarrow 2 πr (10) = 100

\Rightarrow 20 πr = 100

\Rightarrow r = \frac{100}{20 π}

\Rightarrow r = \frac{5}{π}

The radius of the base of the given cylinder is

\frac{5}{π}

.
Therefore, option 2 is correct.

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