HGiven that the diameter of a standard NBA basketball is:
[tex]d=9.5\text{ }in[/tex]
You need to use the formula for calculating the surface area of a sphere, in order to find the surface area of a standard NBA basketball:
[tex]SA=4\pi r^2[/tex]
Where "r" is the radius of the sphere.
By definition, the radius is half the diameter. Therefore, in this case:
[tex]r=\frac{9.5\text{ }in}{2}=4.75\text{ }in[/tex]
Therefore, by substituting the value of "r" into the formula and evaluating, you get:
[tex]SA=4\pi(4.75\text{ }in)^2\approx283.5\text{ }in^2[/tex]
Hence, the answer is: First option.
