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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 (ii) its volume.

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If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find

(i) radius of its base (ii) its volume.

[Use π = 3.14]

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CSA of cylinder = 94.2 cm2

Height of cylinder, h = 5 cm

(i) Let radius of cylinder be r.

Using CSA of cylinder, we get

2πrh = 94.2

2 × 3.14 × r × 5 = 94.2

r = 3

radius is 3 cm

(ii) Volume of cylinder

Formula for volume of cylinder = πr2h

πr2h = (3.14 × (3)2 × 5) (using value of r from (i))

= 141.3

Volume is 141.3 cm3

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