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 cm
2, then the radius of the ball is
-
A.
\(\frac{2P}{\pi}\)
-
B.
\(\frac{P}{\sqrt{\pi}}\)
-
C.
\(\frac{P}{\sqrt{2\pi}}\)
-
D.
2\(\frac{P}{\pi}\)
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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