Question

the circumference of the base of a cylinder is 132 cm and its height is 25cm .find the curved surface are of the cylinder​

Answer 1

Step-by-step explanation:

Let the radius of a cylinder be 'r'

given, height of a cylinder 'h'= 25cm.

ATP,

2πr= circumference of the base of a cylinder

$2 \times \frac{22}{7} \times r = 132$

$\frac{44}{7} \times r = 132$

$r = 132 \times \frac{7}{44}$

$r = 3 \times 7$

$r = 21$

The radius of a cylinder is 21 cm.

The curved surface area of cylinder = 2πrh sq. unit

$= 2 \times \frac{22}{7} \times 21 \times 25 \: {cm}^{2} (taking \: \pi = \frac{22}{7} )$

$= 44 \times 3 \times 25 \: {cm}^{2}$

$= 3300 \: {cm}^{2}$

Answer :- The curved surface area of a cylinder is 3300 cm^2.