To find the volume of the sphere use the following formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]Where V is the volume and r is the radius. Use the given diameter to find the radius (radius is half the diameter):
[tex]\begin{gathered} r=\frac{D}{2} \\ r=\frac{12}{2} \\ r=6 \end{gathered}[/tex]Now, use this value to find the volume of the sphere:
[tex]\begin{gathered} V=\frac{4}{3}\pi(6^3) \\ V=\frac{4}{3}\cdot216\cdot\pi \\ V=288\pi \end{gathered}[/tex]The answer is 288pi in^3.
The approximate volume would be:
[tex]\begin{gathered} V=288\pi \\ V=288(3.14) \\ V=904.32 \end{gathered}[/tex]The approximate volume is 904.32, rounded to the nearest cubic inch it is 904.
