Multiple choice

If the height of a cylinder becomes 1/4 of the original height and the radius is doubled. Then which of the following will be true?

  1. Volume of the cylinder will be doubled.

  2. Volume of the cylinder will remain unchanged.

  3. Volume of cylinder will be halved

  4. Volume of the cylinder will be 1/4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of a cylinder is V = pi * r^2 * h. New volume V' = pi * (2r)^2 * (h/4) = pi * 4r^2 * h/4 = pi * r^2 * h. The volume remains unchanged.

AI explanation

The original volume of the cylinder is πr2h. The new volume is π(2r)2(h/4), which simplifies to π(4r2)(h/4) or πr2h. Since the new volume equals the original volume, the volume remains unchanged.

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