SOLUTION: If a sphere of radius r divided 8 equal part find the total surface area.

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Question 1010825: If a sphere of radius r divided 8 equal part find the total surface area.
Answer by ikleyn(52786) About Me  (Show Source):
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If a sphere of radius r divided 8 equal part find the total surface area.
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You did not provide the description on how the sphere was divided in 8 equal parts. 

Probably, it was made by using four planes that all contain the common diameter of the sphere.

Then the total area of these 8 pieces is equal to the surface area of the sphere plus the area of 8 semi-circles 
of the same radius, i.e.


4pi%2Ar%5E2 + 8%2A%28%28pi%2Ar%5E2%29%2F2%29 = 8%2Api%2Ar%5E2.


It is doubled area of the surface area of the sphere.