Question 68

Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, ﬁnd the height of the cylinder?

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 = $$2 \pi r h = 528$$

=> $$2 \times \frac{22}{7} \times 7 \times h = 528$$

=> $$h = \frac{528}{44} = 12$$ cm

=> Ans - (A)

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