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SSC CHSL 2025 · PYQ · Mensuration · medium

A cone and a hemisphere have equal curved surface areas and radius r. Find the slant height of the cone.

Answer

The correct answer is C: l = 2r. Curved surface area of cone = πrl and curved surface area of hemisphere = 2πr². Setting equal: πrl = 2πr² → l = 2r.

  1. A.l = 5r
  2. B.l = 3r
  3. C.l = 2r✓ Correct
  4. D.l = 4r

Explanation

Curved surface area of cone = πrl and curved surface area of hemisphere = 2πr². Setting equal: πrl = 2πr² → l = 2r.
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