The radius of a circle is half the length of its diameter. Then, the radius of this sphere is 20 inches because:
[tex]\begin{gathered} \text{Radius }=\frac{\text{ Diameter}}{2} \\ \text{Radius }=\frac{40in}{2} \\ \text{Radius }=20in \end{gathered}[/tex]
Now, using the given formula to find the volume of a sphere with radius r, we have:
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}(3.141592)(20in)^3 \\ V=\frac{4}{3}(3.141592)(20^3)in^3 \\ V=\frac{4}{3}(3.141592)(8000)in^3 \\ $\boldsymbol{V=33,510.32in}^{\boldsymbol{3}}$ \end{gathered}[/tex]
Therefore, the volume of a sphere with a diameter of 40 inches rounded to two decimal places is 33,510.32 cubic inches.
