Question

I need help with #11 It says to also round to the nearest hundredth. Please help!

Answer 1

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:

`\begin{gathered} \text{ Total Surface Area}=4\pi r^2 \\ \text{ where r=radius} \end{gathered}`

• Divide the diameter by 2 to get the radius.

`\begin{gathered} \text{ Surface Area}=4*\pi*((9.5)/(2))^2 \\ =283.53\;in.^2 \end{gathered}`

Thus, to get the amount of rubber needed to cover four basketballs, multiply the surface area by 4:

`\text{ Amount of Rubber Needed}=283.53*4=1134.12\;in.^2`

The minimum amount of rubber needed to cover a set of four basketballs is 1134.12 square inches.