Multiple choice

Find the height of a cylinder with radius of base $3.5\;cm$ and lateral surface area $440\;cm^2$.

  1. $40\;cm$
  2. $10\;cm$
  3. $20\;cm$

  4. None of these
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C Correct answer
Explanation

Lateral surface area of a cylinder = 2 * pi * r * h. Given 440 = 2 * (22/7) * 3.5 * h. 440 = 22 * h. h = 440 / 22 = 20 cm.

AI explanation

Using the lateral surface area formula for a cylinder, 2*pi*r*h, substitute the given values as 440 = 2 * (22/7) * 3.5 * h. This simplifies to 440 = 22 * h, so the height h is 20 cm.

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