Two cylinders have their heights in the ratio 1 : 2 and their radii in the ratio 2 : 1. What is the ratio of their volumes?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2 : 1.
Volume of a cylinder = {22/7} × radius2 × height
Let the height of the first cylinder = x and the radii to be 2y
And, the height of the second cylinder = 2x and the radii to be y
Then ratio of the volume of cylinder 1 and cylinder 2 = {(2y)2 × (x)}/{(y)2 × (2x)}
⇒ {4y2 × x}/{y2 × 2x} = 2 : 1