Respuesta :

Given:

The diameter of the sphere is 8cm.

To find:

The volume of the sphere.

Explanation:

The radius of the sphere is,

[tex]\begin{gathered} r=\frac{d}{2} \\ =\frac{8}{2} \\ r=4cm \end{gathered}[/tex]

Then, the volume formula of the sphere is,

[tex]V=\frac{4}{3}\pi r^3[/tex]

Plug in the value of radius for r, and we get

[tex]V=\frac{4}{3}\times3\times[4]^3[/tex]

Evaluating the value we get,

[tex]\begin{gathered} V=4\times4^3 \\ V=256cm^3 \end{gathered}[/tex]

Final answer:

• The value that goes into the green box is 4.

,

• The volume of the sphere is 256 cubic cm.