Multiple choice

Volume of a solid cylinder is $62.37 \ cu.cm$. Find the radius if its height is $4.5 \ cm$.

  1. $r=2.1 \ cm$
  2. $r=4.1 \ cm$
  3. $r=5.1 \ cm$
  4. None of these

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A Correct answer
Explanation

Volume = pi * r^2 * h. 62.37 = (22/7) * r^2 * 4.5. r^2 = (62.37 * 7) / (22 * 4.5) = 436.59 / 99 = 4.41. r = sqrt(4.41) = 2.1 cm.

AI explanation

The volume of a cylinder is found using V = pi * r^2 * h. Substituting the given volume of 62.37 and height of 4.5, we get 62.37 = pi * r^2 * 4.5, which means r^2 = 62.37 / (3.14 * 4.5) = 4.41. Taking the square root of 4.41, the radius is 2.1 cm.