Question

A rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is formed find the volume of the cylinder

Answer 1

Hey there !!

Let r and h be the radius and height of the cylinder respectively

Given that -
a rectangular sheet , suppose the rectangular sheets is in the rolled form , when it will be rolled then it's length will be the height of the cylinder
and it's breadth will be its diameter

from above ,

we can write -

Height of the cylinder = Length of rectangle

or h = 44 cm

and radius of the cylinder = breadth of the

rectangular sheet

or , r = 18/2 = 9 cm

( see in attached image )

Now we know that -

Volume of The cylinder ,= πr² h

⟹ 22/7 × 9× 9 × 44

⟹ 11201.14 cm³


Hope this would help you

Answer 2

Given, length of the rect.=44cm
breath of the rect.=18cm
Now since the rect. has been rolled into a cylinder,
Therefore,h of the cylinder=18cm
Circumference=>44cm=2πr
=>22=(22/7) r
=>r = 7cm
Now according to the question
Vo of cylinder= πr^2h
= 22/7 * 7 * 7 * 18
=2772cm^3