Answer: The volume of the basketball is 449.09 in³.
Step-by-step explanation: Given that the diameter of a basketball is 9.50 inches.
We are to find the volume of the basketball.
A basketball is of the shape of a sphere. And the volume of a SPHERE with radius 'r' units is given by
[tex]V=\dfrac{4}{3}\pi r^3.[/tex]
Here, the diameter of the basketball is 9.50 inches, so the radius of the ball is
[tex]r=\dfrac{9.50}{2}=4.75~\textup{inches}.[/tex]
Therefore, the volume of the basketball will be
[tex] V\\\\\\=\dfrac{4}{3}\pi r^3\\\\\\=\dfrac{4}{3}\times\dfrac{22}{7}\times (4.75)^3\\\\\\=\dfrac{88}{21}\times 107.17\\\\\\=\dfrac{9430.96}{21}\\\\=449.09~\textup{in}^3.[/tex]
Thus, the volume of the basketball is 449.09 in³.
