Cube in sphere

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

Correct result:

r =  6.928 cm

Solution:

a=8 cm  u=3⋅ a=3⋅ 8≐8 3 cm≐13.8564 cm  r=u/2=13.8564/2=4 3=6.928 cma=8 \ \text{cm} \ \\ \ \\ u=\sqrt{ 3 } \cdot \ a=\sqrt{ 3 } \cdot \ 8 \doteq 8 \ \sqrt{ 3 } \ \text{cm} \doteq 13.8564 \ \text{cm} \ \\ \ \\ r=u/2=13.8564/2=4 \ \sqrt{ 3 }=6.928 \ \text{cm}

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