The volume of the sphere is option 3. 288π ft³.
Step-by-step explanation:
Step 1:
The given sphere has a radius of 6 ft.
The volume of a sphere is given by multiplying [tex]\frac{4}{3}[/tex] with π and the cube of the radius (r³).
The volume of a sphere, [tex]V = \frac{4}{3} \pi r^{3} .[/tex]
Step 2:
Here the radius r is 6 inches. We take π as itself.
The volume of a full sphere, [tex]V = \frac{4}{3} (\pi)(6^{3} ).[/tex]
[tex]\frac{4}{3} (\pi)(6^{3} ) = 288 \pi[/tex] ft³.
The volume of the sphere is 288π ft³, This is the third given option.
