A spheres radius is multiplied by 2. How is it's surface area affected

Question

Tyrone Mcintyre

Mathematics

5 July, 20:43

A spheres radius is multiplied by 2. How is it's surface area affected

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Answers (1)

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Braedon Lowery · Answer 1

The surface area is multiplied by 3.

Step-by-step explanation:

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%.