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 (ii) its volume. [Use π = 3.14]

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#### Solution

(i) Height (*h*) of cylinder = 5 cm

Let radius of cylinder be *r*.

CSA of cylinder = 94.2 cm^{2}

2π*rh* = 94.2 cm^{2}

(2 × 3.14 × *r* × 5) cm = 94.2 cm^{2}

*r* = 3 cm

(ii) Volume of cylinder = π*r*^{2}*h*

= (3.14 × (3)^{2} × 5) cm^{3}

= 141.3 cm^{3}

Concept: Volume of a Cylinder

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