Multiple choice

A cone is converted in to the shape of a cylinder of equal radius. If height of the cylinder is 5 cm. The height of the cone is-

  1. 10 cm

  2. 15 cm

  3. 18 cm

  4. 24 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a cone is converted to a cylinder of equal radius, the volume remains the same. Volume of cone = (1/3)πr²h and volume of cylinder = πr²H. Setting them equal: (1/3)πr²h = πr²(5). Cancelling πr² from both sides: (1/3)h = 5, so h = 15 cm. The cone's height must be 3 times the cylinder's height to have equal volumes.

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