Answer:
1134.12 square inches.
Explanation:
The diameter of a standard basketball = 9.5 inches.
To find the amount of rubber needed to cover the basketball, find the total surface area of the basketball.
A basketball is in the shape of a sphere, and the total surface area of a sphere is calculated using the formula:
[tex]\begin{gathered} \text{ Total Surface Area}=4\pi r^2 \\ \text{ where r=radius} \end{gathered}[/tex]
• Divide the diameter by 2 to get the radius.
[tex]\begin{gathered} \text{ Surface Area}=4\times\pi\times(\frac{9.5}{2})^2 \\ =283.53\;in.^2 \end{gathered}[/tex]
Thus, to get the amount of rubber needed to cover four basketballs, multiply the surface area by 4:
[tex]\text{ Amount of Rubber Needed}=283.53\times4=1134.12\;in.^2[/tex]
The minimum amount of rubber needed to cover a set of four basketballs is 1134.12 square inches.
