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Question

Spheres A and B have their radii  40 cm and  10 cm  respectively. The ratio of the surface area of A to the surface  area  of B is :


Options:
A .  1 : 4
B .  1 : 16
C .  4 : 1
D .  16 : 1 .
Answer: Option D

Let the radii of A and B be r and R respectively .

`:.`      Required ratio = `(4 pi r^2)/(4 pi R^2) = r^2/R^2 = (r/R)^2 = (40/10)^2 = `16 : 1.



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