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{2pi}}) -
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})