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SSC CHSL 2025 · PYQ · Mensuration · medium

The circumference of a circle is 132 cm. The radius of the given circle is equal to the radius of a cone having height 12 cm. Find the volume of the cone. (Take π = 22/7)

  1. A.5544 cm³✓ Correct
  2. B.5124 cm³
  3. C.5044 cm³
  4. D.5784 cm³

Explanation

Circumference = 2πr = 132, so r = 132×7/(2×22) = 21 cm. Volume of cone = (1/3)πr²h = (1/3)×(22/7)×441×12 = (1/3)×(22/7)×5292 = 5544 cm³.
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