Question

a rectangular piece of paper 44 cm long and 15 cm wide is covered into a cylinder by Rolling if along its length find the volume of the cylinder​

Answer 1

Answer:

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××r

=> 44 = ×r

=> 44× = r

=> 7 = r

Therefore, radius of the cylinder is 7 cm.

Now,

Volume of the cylinder = πr²h

Volume of the cylinder = ×(7)²× 20

Volume of the cylinder = ×49 × 20

Volume of the cylinder = 3080cm²