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If the lateral surface of a cylinder is 94.2 cm^2 and its height is 5 cm, then find (i) radius of its base

Q : 4    If the lateral surface of a cylinder is \small 94.2\hspace{1mm}cm^2 and its height is 5 cm, then find

            (i) radius of its base (Use \small \pi =3.14)

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Given,

Lateral surface area of the cylinder = \small 94.2\hspace{1mm}cm^2

Height of the cylinder = h = 5\ cm

(i) Let the radius of the base be r\ cm

We know,

The lateral surface area of a cylinder = 2\pi r h

\\ \therefore 2\pi r h = 94.2 \\ \Rightarrow 2\times3.14\times r\times5 = 94.2 \\ \\ \Rightarrow r = \frac{94.2}{31.4} = 3\ cm

Therefore, the radius of the base is 3\ cm

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