Multiple choice

If lateral surface of cylinder of height $10$ cm is $\displaystyle 100{ cm }^{ 2 }$. Find radius of base?

  1. $\displaystyle 5\pi $
  2. $\displaystyle \frac {5}{\pi}$
  3. $\displaystyle 6\pi $
  4. $\displaystyle \frac { \pi }{ 5 } $
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B Correct answer
Explanation

Lateral surface area of a cylinder = 2 * pi * r * h. 100 = 2 * pi * r * 10. 100 = 20 * pi * r. r = 100 / (20 * pi) = 5 / pi.

AI explanation

Use the lateral surface area formula for a cylinder, S = 2 pi r h, and rearrange it to solve for the radius as r = S / (2 pi h). Substituting the given values gives r = 100 / (2 * pi * 10), which simplifies to 5 / pi centimeters.

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