Answer: 972π m³
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Here, notice that our sphere has a radius of 9 meters.
So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(9 m)^{3}[/tex].
Start by simplifying the exponent.
(9m)³ is equal to 9 meters x 9 meters x 9 meters or 729 m³.
So we have [tex](\frac{4}{3})(729m^{3})(\pi)[/tex].
Notice that we can cross cancel 3 in 4/3 and 729 to 1 and 243.
So we have [tex](4)(243 m^{3})[/tex] which is equal to 972 m³.
So we have 972π m³.
So the volume of the sphere shown here is 972π m³.
