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CTET PAPER II 2019 · PYQ · Volume of Cylinder · medium

The circumference of the base of a right circular cylinder is 528 cm and its height is 2 m. What is the volume of the cylinder? (Take π = 22/7)

  1. A.2.2176 m³
  2. B.3.3264 m³
  3. C.4.4352 m³✓ Correct
  4. D.6.6528 m³

Explanation

Circumference = 2πr = 528 cm, so r = 528 × 7 / (2 × 22) = 3696/44 = 84 cm = 0.84 m. Height h = 2 m. Volume = πr²h = (22/7) × (0.84)² × 2 = (22/7) × 0.7056 × 2 = (22 × 1.4112)/7 = 31.0464/7 = 4.4352 m³.
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