Multiple choice

If the lateral surface of the cylinder is $\displaystyle 500{ cm }^{ 2 }$ and ts height is 10 cm, then find radius of its base. (use $\displaystyle \pi =3.14$).

  1. $7.96$ m
  2. $7.96$ cm
  3. $\displaystyle 7.96{ cm }^{ 2 }$
  4. $\displaystyle 9.61{ m }^{ 2 }$
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B Correct answer
Explanation

The lateral surface area of a cylinder is 2πrh. Substituting 500 = 2 × 3.14 × r × 10 gives r approximately 7.96 cm.

AI explanation

Using the lateral surface area formula of a cylinder, 2 * pi * r * h, we set it equal to 500 square cm: 2 * 3.14 * r * 10 = 500. Solving for the radius gives 62.8r = 500, so r = 7.96 cm.

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