Cube in sphere

The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.

Result

r =  6.928 cm

Solution:

a=8 cm  u=3 a=3 8=8 3 cm13.8564 cm  r=u/2=13.8564/2=4 36.9282=6.928  cm a = 8 \ cm \ \\ \ \\ u = \sqrt{ 3 } \cdot \ a = \sqrt{ 3 } \cdot \ 8 = 8 \ \sqrt{ 3 } \ cm \doteq 13.8564 \ cm \ \\ \ \\ r = u/2 = 13.8564/2 = 4 \ \sqrt{ 3 } \doteq 6.9282 = 6.928 \ \text{ cm }



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