If the diameter of sphere is reduced by half, its surface becomes A. one-quarter the original surface. B. double the original surface. C. half the original surface. D. four times the original surface.

Question

Ciara

Mathematics

7 March, 08:52

If the diameter of sphere is reduced by half, its surface becomes A. one-quarter the original surface. B. double the original surface. C. half the original surface. D. four times the original surface.

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Answers (1)

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Claire King · Answer 1

Surface area is 4*pie*r^2

If the diameter is reduced by half, radius is reduced by half

New radius is r'

r' = r/2

So new area = 4*pie*r'^2 = pie * r^2

So A