The ratio of the radii of two right circular cylinders is 2 : 3. If their heights are in the ratio 5 : 3, find the ratio of their volumes.
Answer & explanation
Correct answer: option 4
We know that,
Volume of cylinder = πR2H
The ratio of the radii of two right circular cylinders = 2 : 3
Their heights are in the ratio = 5 : 3
Volume of Cylinder 1 = π(2)25 = 20π
Volume of Cylinder 1 = π(3)23 = 27π
The ratio of their volumes = 20π : 27π = 20 : 27