Answer:
[tex]V=113.1cm^3[/tex]
Step-by-step explanation:
The formula to calculate the volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
In this case we do not know the radius of the sphere, but we know the diameter.
By definition the diameter of a sphere is equal to twice the radius. This is:
[tex]d = 2r[/tex]
[tex]r = \frac{d}{2}[/tex]
In this case d=6 cm
So
[tex]r = \frac{6}{2}[/tex]
[tex]r = 3\ cm[/tex]
Finally
[tex]V=\frac{4}{3}\pi 3^3[/tex]
[tex]V=36\pi\ cm^3[/tex]
[tex]V=113.1cm^3[/tex]
