Question 80

Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π = 22/7)

Solution

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

Circumference of base = $$2 \pi r = 44$$

=> $$2 \times \frac{22}{7} \times r = 44$$

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

Curved surface area of cylinder = $$2 \pi r h = 440$$

=> $$44 \times h = 440$$

=> $$h = \frac{440}{44} = 10$$ cm

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

= $$\frac{22}{7} \times (7)^2 \times 10$$

= $$22 \times 70 = 1540 cm^3$$

=> Ans - (A)


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