Answer: [tex]Volume = 972\pi units^{3}[/tex]
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.
[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]
Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.
[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]
Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]
[tex]Volume = (4) (243units^{3}) (\pi)[/tex]
[tex]Volume = 972\pi units^{3}[/tex]
