Answer:
The radius of the sphere will be:
Step-by-step explanation:
Given that a sphere has the same volume as a cube with edge length 5.
[tex]V_c=V_s[/tex]
[tex]\:a^3=\frac{4}{3}\pi r^3[/tex]
[tex]\:r^3=\frac{3\:a^3}{4\pi }[/tex]
[tex]\:\:r=\sqrt[3]{\frac{3\:a^3}{4\pi \:}\:\:}[/tex]
substitute a = 5
[tex]r=\sqrt[3]{\frac{3\:\left(5\right)^3}{4\pi \:\:\:}\:\:}[/tex]
[tex]r=3.1[/tex] units
Therefore, the radius of the sphere will be:
