If the radius of the sphere is increased by 100%, the volume of the corresponding sphere is increased by [1]
(a) 200% (b) 500%
(c) 700% (d) 800%
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The radius is increased by 100 % means it is doubled so
if initial radius = r then new radius = 2r
Initial volume = 4 × pi × r^3
New volume = 4 × pi × 8r^3
so volume increased by 8 times
similarly surface area increases by 4 times
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