Cube in sphere

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

Correct answer:

r =  6.9282 cm

Step-by-step explanation:

$$\begin{gathered} a=8\text{ cm } \\ u=\sqrt{3}\cdot a=\sqrt{3}\cdot 8=8\sqrt{3}\text{ cm}\doteq 13.8564\text{ cm } \\ r=u\mathrm{/}2=13.8564\mathrm{/}2=4\sqrt{3}=6.9282\text{ cm} \end{gathered}$$

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