If you doubled the surface area of a sphere how would the surface area change

Question

Mathematics

Maleah Rhodes

20 April, 00:47

If you doubled the surface area of a sphere how would the surface area change

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Brielle · Answer 1

If r is the radius of a sphere its surface area = 4 (pi) r^2. If the radius is doubled then its surface area = 4 (pi) (2r) ^2 = 4*4 (pi) r^2. So the surface area becomes 4-fold or the increase in surface area is 300%.