ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration

Question 6 Mensuration Exercise 17.1

In the given figure, a rectangular tin foil of size 22 cm by 16 cm is wrapped around to form a cylinder of height 16 cm. Find the volume of the cylinder.

Answer:

Solution:

The capacity of a cylinder, which determines how much material it can carry, is determined by the cylinder's volume.

Given height of the cylinder, h = 16 cm

When rectangular foil of length 22 cm is folded to form cylinder, the base circumference of the cylinder is 22cm

2π r = 22

r = 22/2π

= 3.5 cm

Volume of the cylinder, V = π r2h

= (22/7)×3.52×16

= 616 cm3

Hence the volume of the cylinder is 616 cm3.

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