Answer: 972π cm³
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 diameter of 18 centimeters.
However, we need to find the radius and to do that, we multiply our diameter by 1/2 and we will get the radius of our sphere.
18 · 1/2 is equal to 9.
So the radius is 9 centimeters.
So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(9 cm)^{3}[/tex].
Start by simplifying the exponent.
(9 cm)³ is equal to 9 centimeters · 9 centimeters
· 9 centimeters or 729 cm³.
So we have [tex](\frac{4}{3})(729 cm^{3})(\pi)[/tex].
Notice that we can cross cancel 3 and 729 to 1 and 243.
So we have (4)(243 cm³) which is equal to 972 cm³.
So we have 972π cm³.
So the volume of the sphere shown here is 972π cm³.
