SSC CHSL 2023 · PYQ · Mensuration / Volume · medium
If a right circular cone of height 24 cm has the circumference of its base 42π cm, then the volume of the cone is (use π = 22/7):
- A.21011 cm³
- B.12034 cm³
- C.15211 cm³
- D.11088 cm³✓ Correct
Circumference = 2πr = 42π, so r = 21 cm. Volume = (1/3)πr²h = (1/3)×(22/7)×441×24 = (1/3)×(22/7)×10584 = (1/3)×33264 = 11088 cm³.
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