Question

A rectangular sheet of paper is 44cm long and 20 cm wide. It is rolled along its length so that the breath are in contact with each other. Find the volume of the cylinder so formed.

Answer 1

Given :
A rectangular sheet of paper is 44cm long and 20cm wide.

According to the question,
The rectangular sheet is rolled along it's length so that the breadth are in contact with each other.

It becomes a cylinder,

the length = circumference of cylinder

the breadth = height of cylinder

Now,
height of cylinder is 20 cm
radius = ?

let radius be r

circumference of cylinder = 2πr
=> 44 = 2πr

=> 44 = 2×$\frac{22}{7}$×r

=> 44 = $\frac{44}{7}$×r

=> 44×$\frac{7}{44}$ = r

=> 7 = r

Therefore, radius of the cylinder is 7 cm.

Now,
Volume of the cylinder = πr²h

Volume of the cylinder = $\frac{22}{7}$×(7)²× 20

Volume of the cylinder = $\frac{22}{7}$×49 × 20

Volume of the cylinder = 3080cm²

Answer 2

Thank you for asking this question. Here is your answer:

We know that the length of the rectangular sheet L = 44 cm

and the breadth of the rectangular sheet B =20 cm

The radius r of the cylinder=circumference of the base of cylinder

=

44=2x22/7r

44x7/44

r=7

and the height h of the cylinder =20cm

volume of cylinder will be π²h

V=22/7x7x7x20

V=22x7x20

V=3080cm³

If there is any confusion please leave a comment below.