Question 59

The height of two cylinders are equal and their radius are in the ratio of 1 : 3 respectively. What is the respective ratio of the volume of the two cylinders?

Solution

Let heights of both cylinders = $$h$$ cm

Let radius of first cylinder = $$r$$ cm, => Radius of second cylinder = $$3r$$ cm

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

$$\therefore$$ Required ratio = $$\frac{\pi(r)^2h}{\pi(3r)^2h}$$

= $$\frac{1}{9}$$

Thus, the respective ratio of the volume of the two cylinders = $$1:9$$

=> Ans - (B)

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