If a sphere’s radius is quadrupled, what is the corresponding change in surface area?

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11-06-2016
Mathematics

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If a sphere’s radius is quadrupled, what is the corresponding change in surface area?

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Аноним Аноним · Answer 1 · 2016-06-22T10:53:43+02:00

The surface area of a sphere is four times the area of the largest circle that can be formed out of it. Mathematically, the surface area SA = 4πr^2. There is a direct variation between the surface area and radius.

SA = 4π(4r)^2

SA = 64πr^2

Thus, the surface area is multiplied 16 times if the radius is quadrupled.