Question 6
The radii of two cylinders are in the ratio of 2:3 and their heightsare in the ratio of 5:3. The ratio of their volumes is:
A) 10:17
B) 20:27
C) 17:27
D) 20:37
The answer is B.
Let the radii of two cylinders be r1 and r2 and height of the cylinders be h1 and h2.
Given, r1r2=23 and h1h2=53
∴ Ratio of volumes =πr21h1πr22h2=(r1r2)2(h1h2)
=(23)2(53)=49×53=20:27
Hence, the ratio of their volumes is 20:27.