Multiple choice

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -

  1. 3:2

  2. 2:3

  3. 4:5

  4. 5:4

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cone = (1/3)πr²h. The cylinder has radius r/4 and height 8h, so its volume = π(r/4)²×8h = (1/2)πr²h. The ratio of cone volume to cylinder volume = (1/3)πr²h : (1/2)πr²h = 1/3 : 1/2 = 2:3.

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