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

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
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  • A \(\frac{2P}{\pi}\)
  • B \(\frac{P}{\sqrt{\pi}}\)
  • C \(\frac{P}{\sqrt{2\pi}}\)
  • D 2\(\frac{P}{\pi}\)
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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