The radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 : 16. What is the ratio of their heights?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 3 : 4
Let the radius of cylinders = 3x and 2x
Let the height of cylinders = h1 and h2
We know that, volume of cylinder = πr2h
Putting the values of r in the formula
π(3x)2h1/π(2x)2h2 = 27 : 16
h1/h2 = 3:4