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# If the lateral surface of a cylinder is 94.2 cm^2 and its height is 5 cm, then find (ii) its volume.

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

(ii) it's volume. (Use $\small \pi =3.14$)

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Given,

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

Height of the cylinder = $h = 5\ cm$

The radius of the base is $3\ cm$

(ii) We know,

The volume of a cylinder = $\pi r^2 h$

$\\ = 3.14\times3^2\times5 \\ = 3.14 \times 9 \times 5= 3.14 \times 45 \\ = 141.3\ cm^3$

Therefore, volume of the cylinder is $141.3\ cm^3$

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