Respuesta :

Given:

The diameter of the sphere = 42 cm

To find the volume of the given sphere.

Formula:

The volume of a sphere is given by [tex]V=\frac{4}{3} \pi r^3[/tex]

The radius is given by [tex]r=\frac{d}{2}=\frac{42}{2}=21[/tex]

Volume of the sphere:

The volume of the sphere is given by

[tex]V=\frac{4}{3} (3.14)(21)^3[/tex]

Simplifying, we get;

[tex]V=\frac{4}{3}(3.14)(9261)[/tex]

Multiplying the terms, we have;

[tex]V=\frac{116318.16}{3}[/tex]

Dividing, we get;

[tex]V=38772.7[/tex]

Thus, the volume of the sphere is 38772.7 cubic cm.