Question

Find the curved surface area of the cylinder whose circumference of the base
is 22 cm and height is 3 m:
(a) 44 cm^2
(b) 66 cm^2
(c) 77 cm^2
(d) 22 cm^2

Answer 1

Answer :-

• The curved surface area of the cylinder is 66cm². [ Option. (b) ] is correct.

Step-by-step explanation :

To Find :-

• The curved surface of cylinder

Solution :-

Given that,

• Height of the cylinder = 3m
• Circumference of the base = 22cm.

First we need to find out the radius of the cylinder, we can find out te radius by applying the formula of circumference of circle,

Assumption: Let us assume the radius as r,

As we know that,

Circumference of circle = 2πr,

=> 2 × 22/7 × r = 22

=> 44/7 × r = 22

=> r = 22 × 7/44

=> r = 7/2

=> r = 3.5

• The radius of circle is 3.5cm.

Now, the curved surface area of cylinder,

As we know that,

Curved surface area of cylinder = 2πrh,

=> 2πrh

=> 2 × 22/7 × 3.5 × 3

=> 2 × 22 × 0.5 × 3

=> 44 × 0.5 × 3

=> 22 × 3

=> 66

• The curved surface area of cylinder is 66cm².