Answer:
113.1 in³
Explanation:
The volume of a sphere can be calculated as:
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]
Where π is 3.1416 and r is the radius of the sphere.
The radius of the sphere is half the diameter, so the radius is equal to:
[tex]\text{radius = }\frac{Diameter}{2}=\frac{6\text{ in}}{2}=3\text{ in}[/tex]
So, the volume of the sphere in cubic inches is:
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.1416\cdot(3in)^3 \\ V=\frac{4}{3}\cdot3.1416\cdot27 \\ V=113.1in^3 \end{gathered}[/tex]
Therefore, the answer is 113.1 in³
