If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is:
Answer & explanation
Correct answer: option 3
We know that,
Volume of cylinder = πr2h
Ratio of radius = r1 : r2 = 3 : 4
Ratio of heights = h1 : h2 = 4 : 9
Now the ratio of the volumes = π(r1)2 h1 : π(r2)2 h2
= 32 × 4 : 42 × 9 = 1 : 4