A rectangular piece of paper is 22 cm long and 10 cm wide . . .

Question : A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

Doubt by Mehak

Solution :




Dimensions of rectangular piece of paper
l = 22 cm
b = 10 cm

When it is rolled in the shape of a cylinder then the height of the cylinder will be equal to its breadth and the circumference of its circular base will be equal to its length.
so
H=b=10 cm
C= l = 22 cm
C = 22 cm
2πr = 22
2×(22/7)×r = 22
r = 7/2 cm

Now, the volume of the cylinder will be
=πr²h
=(22/7)×(7/2)×(7/2)×10
= 385 cm³