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180 units^2

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Q: Suppose the square below with radius r has a surface area equal to 45 units2 find the surface area of the sphere with twice the radius?
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If the radius of a sphere doubles does its surface area double?

No, if the radius of a sphere doubles, its surface area increases by a factor of 4, not simply doubling. The surface area of a sphere is proportional to the square of the radius.


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If the surface area of a sphere is increased by a factor of 4 what is the change in the length of the radius of the sphere?

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