Multiple choice

The curved surface of a cylinder is 4400 cm.2 and its circumference of the base is 110 cm. find the volume of cylinder.

  1. 36700 cm.3

  2. 36720 cm.3

  3. 38500 cm.3

  4. 39600 cm.3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved surface area = 2πrh = 4400. Circumference = 2πr = 110, so r = 110/2π = 55/π. Substituting: 2π(55/π)h = 4400, giving 110h = 4400, so h = 40. Volume = πr²h = π(55/π)² × 40 = π(3025/π²) × 40 = (3025 × 40)/π = 121000/π ≈ 38500 (taking π = 22/7). Option C (38500) is correct.

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