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JAMB Mathematics 1981 Question 35

Question 35

Mensuration of Solids

The area of a circular plate is one-sixteenth the surface area of a ball. If the area of the plate is given as Pcm2, then the radius of the ball is

  1. A.2P/π
  2. B.4P/√π
  3. C.√P/π
  4. D.2√(P/π)
  5. E.2P/3π
Show the answer and explanation

Answer: D (2√(P/π))

Explanation

P = (1/16) × 4πr² = πr²/4, so r² = 4P/π and r = 2√(P/π).