Question

The ratio of radii of two cylinders is 1: 2 and heights are in the ratio 2:3. The ratio of their volumes is

(a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9

Answer 1

The correct answer is option (a) 1:6

Explanation:

Assume that r and R be the radii of the two cylinders and h and H be the height of the two cylinders

It is given that r/R = ½ and h/H = 2/3

We know that the volume of a cylinder = πr² h

Now, v/V = πr² h / πR² H

v/ V = (r/R)² (h/H)

v/V = (1/2)² (2/3)

v/V = (1/4) (2/3) = 1/6

Therefore, the ratio of their volume is 1/6