Answer: 288π in³
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is [tex]v =\frac{4}{3} \pi r^{3}[/tex].
Here, we are given that our sphere has a radius of 6 inches.
So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(6 in.)^{3}[/tex].
Start by simplifying the exponent.
(6 in.)³ is equal to 6 inches · 6 inches · 6 inches or 216 in³.
So we have [tex](\frac{4}{3})(216 in^{3})(\pi)[/tex].
Notice that we can cross cancel 3 and 216 to 1 and 72.
So we have (4)(72in³)(π) which is equal to 288π in³.
So the volume of the sphere is 288π in³.
