Question 24
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
Let r1,r2 be radii of two cylinders and h1,h2 be their heights.
Then, r1r2=12 and h1h2=23
Now, V1V2=πr21h1πr22h2=(r1r2)2×h1h2=(12)2×23
=14×23=16=1:6
Hence, V1:V2=1:6