Multiple choice

If the lateral surface of a cylinder is $94.3\ {cm}^{2}$ and its height is $5\ cm$, then find its volume (Use $\pi=3.14$)

  1. $141.3\ {cm}^{3}$
  2. $241.3\ {cm}^{3}$
  3. $131.3\ {cm}^{3}$
  4. $121.3\ {cm}^{3}$
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A Correct answer
Explanation

Lateral surface area = 2 * pi * r * h = 94.3. 2 * 3.14 * r * 5 = 94.3. 31.4 * r = 94.3. r = 3. Volume = pi * r^2 * h = 3.14 * 9 * 5 = 141.3.

AI explanation

Using the formula for the lateral surface area of a cylinder, 2 * pi * r * h, we find the radius by dividing 94.3 by (2 * 3.14 * 5) to get r = 3 cm. The volume formula for a cylinder is pi * r^2 * h, so substituting the known values gives 3.14 * 3^2 * 5. This results in a volume of 141.3 cubic cm.

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