Question

A rectangular sheet of dimensions 44cm * 18cm isrolled along its length and a cylinder is formed findthe volumeofthe cylinder so formed

Answer 1

SOLUTION:-

Given:

A rectangular sheet of dimensions 44cm×18cm is rolled along its length & a cylinder is formed.

To find:

The volume of the cylinder.

Explanation:

We have,

A rectangular sheet of dimensions 44cm× 18cm.

ATQ,

Sheet of dimensions=circumference of circle.

•Height of the cylinder= 18cm.

Now,

We know that, circumference of circle:

=) 2πr

$=2 \times \frac{22}{7} \times r = 44 \\ \\ = \frac{44}{7} \times r = 44 \\ \\ = r = \frac{44 \times 7}{44} \\ \\ = > r = 7cm$

Therefore, formula of the volume of cylinder:

=) πr²h

$= > \frac{22}{7} \times 7cm \times 7cm \times 18cm \\ \\ = > (22 \times 7 \times 18) {cm}^{3} \\ \\ = > 2772 {cm}^{3}$

Thus,

The volume of the cylinder is 2772cm³.