Volume of a cylinder is 13860 cubic cm. If circumference of its base is 132 cm, find the curved surface area of the cylinder?

Let radius of cylinder = $$r$$ cm and height = $$h$$ cm

Circumference of base = $$2 \pi r = 132$$

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

=> $$r = \frac{132}{44} \times 7 = 21$$ cm

Volume of cylinder = $$\pi r^2 h = 13860$$

=> $$\frac{22}{7} \times (21)^2 \times h = 13860$$

=> $$22 \times 3 \times 21 \times h = 13860$$

=> $$h = \frac{13860}{66 \times 21} = 10$$

$$\therefore$$ Curved surface area of cylinder = $$2 \pi r h$$

= $$2 \times \frac{22}{7} \times 21 \times 10$$

= $$44 \times 30 = 1320 cm^2$$