Multiple choice

If the volumes of a sphere and a cylinder of equal radius are same, then ratio of the radius and height of the cylinder will be:

  1. 4 : 3

  2. 3 : 2

  3. 3 : 4

  4. 2 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sphere volume = (4/3)πr³, Cylinder volume = πr²h. When equal: (4/3)πr³ = πr²h. Cancel πr²: (4/3)r = h. So r : h = r : (4/3)r = 1 : 4/3 = 3 : 4. The ratio of radius to height is 3:4. Option C matches this.

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