SOLUTION: A sphere is inscribed in a cube whose surface area is 36 square units. Determine the surface area of the sphere. Leave your answer in terms of Pi.

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Question 611195: A sphere is inscribed in a cube whose surface area is 36 square units. Determine the surface area of the sphere. Leave your answer in terms of Pi.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the diameter of the sphere equals the edge length of the cube

6 e^2 = 36 ___ e = √6 ___ so the radius is (√6) / 2

sa = 4 pi r^2 = 4 pi 6/4 = 6 pi