Question

14. A rectangular sheet of paper of length 22 cm and breadth 7 cm is rolled to form a hollow
cylinder of height 7 cm. If there is no overlap, then the perimeter of the base is
(b) 154 cm
(c) 14 cm
(d) 22 cm​

Answer 1

Answer:

Height of cylinder = Width of sheet =BC=22 cm

Circumference of top = 2πr = Length of sheet =AB=36 cm

⇒r=

2π

36

Now, volume = πr

2

h

=π×(

2π

36

)

2

×22

=

4×22

36×36×7×22

=2268cm

3

Hence, the volume of the cylinder is 2,268cm

3