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The area of a circular plate is one-sixteenth the surface area of a ball of...

Mathematics
JAMB 1981

The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm2, then the radius of the ball is
  • A. \(\frac{2P}{\pi}\)
  • B. \(\frac{P}{\sqrt{\pi}}\)
  • C. \(\frac{P}{\sqrt{2\pi}}\)
  • D. 2\(\frac{P}{\pi}\)
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Correct Answer: Option D
Explanation
Surface area of a sphere = 4\(\pi\)r2

\(\frac{1}{16}\) of 4\(\pi\)r2

= \(\frac{\pi r^2}{4}\)

P = \(\frac{\pi r^2}{4}\)

r = 2\(\frac{P}{\pi}\)

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