The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 1 : 12.
Formula used:
Volume of cylinder = πr2h ---- (1)
Calculations:
Let the radius of both cylinders be 1x and 4x
Similarly, height of both cylinders be 4y and 3y.
Using equation (1), we get
⇒ Volume of first cylinder/volume of second cylinder
⇒ π × 1x × 1x × 4y/π × 4x × 4x × 3y = 4/48 = 1 : 12