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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. - Mathematics

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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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Solution

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

Let radius of cylinder be r.

CSA of cylinder = 94.2 cm2

rh = 94.2 cm2

(2 × 3.14 × r × 5) cm = 94.2 cm2

r = 3 cm

 

(ii) Volume of cylinder = πr2h

= (3.14 × (3)2 × 5) cm3

= 141.3 cm3

Concept: Volume of a Cylinder
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.6 | Q 4 | Page 230

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