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Question

If the radius of a sphere is increased by 2 cm, then its surface area increases by 352`cm^2`. the radius of the sphere before the increase was  :


Options:
A .  3 cm
B .  4 cm
C .  5 cm
D .  6 cm
Answer: Option D

`4 pi (r + 2)^2 - 4 pi r^2 = 352`

`hArr   (r + 2)^2 - r^2 = (352 xx 7/22 xx 1/4)` =  28.

`hArr    ( r + 2 + r) ( r + 2 - r) = 28`

`hArr     2 r + 2 = 14`

`hArr  r = (14/2 - 1)` = 6 cm



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