Answer: The surface area of the ball is 15.90 in².
Step-by-step explanation:
1. The ball is spherical, therefore to calculate its surface area, you must apply the formula for calculate the surface area of a sphere, which is:
[tex]SA=4r^{2}\pi[/tex]
2. You can calculate the radius ([tex]r[/tex]) with the diameter given in the problem, as following:
[tex]r=\frac{2.25in}{2}\\r=1.125in[/tex]
3. Substitute this value into the formula. Then, you obtain that the result is:
[tex]SA=4(1.125)^{2}\pi\\SA=15.90in^{2}[/tex]
