Doubling the radius of a sphere increases its surface area by what factor?

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Multiple Choice

Doubling the radius of a sphere increases its surface area by what factor?

Explanation:
Doubling the radius makes surface area grow with the square of the scale factor. For a sphere, surface area is 4πr^2. If the radius becomes 2r, the surface area is 4π(2r)^2 = 16πr^2, which is four times the original 4πr^2. So the surface area increases by a factor of 4 (four times larger). For contrast, volume would increase by eight times since it scales with r^3.

Doubling the radius makes surface area grow with the square of the scale factor. For a sphere, surface area is 4πr^2. If the radius becomes 2r, the surface area is 4π(2r)^2 = 16πr^2, which is four times the original 4πr^2. So the surface area increases by a factor of 4 (four times larger). For contrast, volume would increase by eight times since it scales with r^3.

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