Question

35. A rectangular piece of paper 11cm x 4cm is folded without overlapping to make
a cylinder of height 4cm. Find :-
(0) The volume of the cylinder.
(ii) The lateral surface area of the cylinder
(iii) The total surface area of the cylinder if it is closed at one end and open at
the other.
(iv) Quantity of water that can be stored in a plastic cylinder of same measure.
OR​

Answer 1

Answer:

Given a Rectangular piece of paper 11cm×4cm is folded without overlapping to make a cylinder of height 4 cm

The length of the paper becomes the circumference of the base of the cylinder and width becomes height.

Let radius of the cylinder=r and height=h

Circumference of the base of cylinder =2πr=11cm

⇒2×

7

22

×r=11

∴r=

4

7

cm

Now h=4cm

Volume of the cylinder (V)=πr

2

h

=

7

22

×

4

7

×

4

7

×4cm

3

=38.5cm

3