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PenguinHelper

The surface area of the model is 144π cm.²


To find the surface area of the sphere, we need to know the formula for the surface area of a sphere. The formula for the surface area of a sphere is 4πr². But, we don't have the radius! We only know the diameter. But, since the d is equal to twice the radius, if the diameter is 12, the radius is 12/2 or 6. Now we can solve.


4 * π * (6)²=

=4 * π * 36=

=144π


That means that the surface area of the model is 144π cm.²

highwireact

For reasons that might eventually be proven in a later calculus course, the surface area of a sphere is given by the formula


A = 4r²π


or, since the radius r is half of the diameter d (d = 2r):


A = d²π


Since our diameter is 12 cm, the area would then be


12²π = 144π cm²

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