If the diameter of sphere is doubled the increase in its surface area will be
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Step-by-step explanation:
Let r be the radius of the circle, hence diameter d = 2r
Surface area of sphere = 4πr2 sq units
= π (4r2)
= π (2r)2
= π d2
Given d is doubled
Hence the new diameter is 2d
New surface area = π (2d)2
= 4πd2
Increase in area = 4πd2 – πd2
= 3πd2
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