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+2 votes
20.8k views
in Mathematics by (30.0k points)

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)

1 Answer

+2 votes
by (130k points)
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Best answer

Here, h = 5 cm, 2πrh = 94.2 cm2. 

(i) 2πrh = 94.2 

⇒ 2 × 3.14 × r × 5 = 94.2 

⇒ r = 94. 2/ 2x 3.14x 5 = 3 

Hence, base radius of the cylinder = 3 cm Ans. 

(ii) Volume of the cylinder = π r2

= 3.14 × 3 × 3 × 5 cm3 = 141.3 cm3 Ans

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