Question 27

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

Solution

Ratio of diameter = Ratio of radius

Let the radius of the two cylinders be 3 cm and 2 cm respectively.

Let the heights be $$h_1$$ and $$h_2$$ respectively.

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

According to ques,

=> $$\pi(3)^2h_1=\pi(2)^2h_2$$

=> $$9h_1=4h_2$$

=> $$\frac{h_1}{h_2}=\frac{4}{9}$$

=> Ans - (D)

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