Multiple choice

The curved surface area and the height of a cylinder are 440 cm2 and 10 cm, respectively. The base diameter of the cylinder is

  1. 7 cm

  2. 3.5 cm

  3. 17 cm

  4. 14 cm
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D Correct answer
Explanation

Curved surface area = 2 * pi * r * h = 440. Given h = 10, 2 * (22/7) * r * 10 = 440. Solving for r gives r = 7. The diameter is 2 * r = 14 cm.

AI explanation

The curved surface area of a cylinder is given by the formula 2πrh. Substituting the known values gives 440 = 2 × (22/7) × r × 10, which simplifies to 440 = 440r/7. Solving for the radius yields r = 7 cm, so the diameter is twice the radius, which is 14 cm.

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