A Rectangular Sheet of Paper, 44 Cm × 20 Cm, is Rolled Along Its Length of Form a Cylinder. Find the Volume of the Cylinder So Formed. - Mathematics

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Sum

A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

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Solution

Given data is as follows:

Dimensions of the rectangular sheet = `44  cm xx 20  cm` 

We have to find the volume of the cylinder that is made out of this rectangular strip.

Since the rectangular strip is rolled along its length, we have,

Circumference of the cylinder = length of the rectangular strip

 = 44 cm

We know that,

Circumference = 2πr

Therefore,

 `2pi r = 44`

` 2 xx 22/7 xx r = 44`

 r =7

Also, the width of the rectangular strip will be the height of the cylinder. Therefore,

 h = 20

Now that we know the values of r and h, we can easily find the volume of the cylinder.

Volume = `pir^2h`

= `22/7 xx 7 xx 7 xx 20`

=Volume = 3080 cm3

Concept: Surface Area of Cylinder
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 13 | Page 21

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