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ML Aggarwal Solutions Class 8 Mathematics Solutions for Mensuration Exercise 18.4 in Chapter 18 - Mensuration

Question 30 Mensuration Exercise 18.4

A rectangular paper is size 22 cm × 14 cm is rolled to form a cylinder of height 14 cm, find the volume of the cylinder. (Take π = 22/7)

Answer:

Given,

Length of a rectangular paper = 22 cm and breadth = 14 cm

By rolling it a cylinder is formed whose height is 14 cm

And, the circumference of the base = 22 cm

We know that, circumference = 2πr

So, radius (r) = C/2π = (22 × 7)/(2 × 22) = 7/2 cm

Hence,

Volume of the cylinder so formed = πr2h

= 22/7 × 7/2 × 7/2 × 14

= 539cm3

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