Answer:
option 3, [tex]972\pi in^{3}[/tex]
Step-by-step explanation:
The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]
where r os the radius
given: diameter = 18in
radius = diameter / 2
radius = 18 / 2
r = 9in
Plug in radius:
[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]
cancel common factor: 3
[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]
Let me know if you have any questions !
