Multiple choice

If the curved surface area of a cylinder is $1760$ sq.cm and its base radius is $14$ cm, then its height is:

  1. $10$ cm
  2. $15$ cm
  3. $20$ cm
  4. $40$ cm
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C Correct answer
Explanation

Curved surface area = 2 * pi * r * h = 1760. 2 * (22/7) * 14 * h = 1760 => 88 * h = 1760 => h = 20.

AI explanation

Using the formula for the curved surface area of a cylinder, 2 * pi * r * h = 1760. Substituting the radius r = 14, we get 2 * (22/7) * 14 * h = 1760. Solving for h gives 88h = 1760, which results in a height of 20 cm.

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