A company needs to calculate the total surface area required to make 10 beach balls. Use 3.14 for [tex]\pi[/tex] and round to the nearest tenth. Recall the formula for surface area: [tex]SA = 4 \pi r^2[/tex].

Choose the correct total surface area from the options below:

A. 30.24 in.[tex]^2[/tex]
B. 100.5 in.[tex]^2[/tex]
C. 251.2 in.[tex]^2[/tex]
D. 502.4 in.[tex]^2[/tex]

We begin by finding the surface area of one beach ball. The formula for the surface area of a sphere is

[tex]$$
SA = 4 \pi r^2.
$$[/tex]

Assuming the radius of each ball is [tex]$2$[/tex] inches and using [tex]$3.14$[/tex] for [tex]$\pi$[/tex], the surface area for one ball is

[tex]$$
SA = 4 \cdot 3.14 \cdot (2)^2.
$$[/tex]

Calculating step by step:

1. Compute the square of the radius:
[tex]$$
2^2 = 4.
$$[/tex]

2. Multiply by [tex]$\pi$[/tex] and [tex]$4$[/tex]:
[tex]$$
4 \cdot 3.14 \cdot 4 = 50.24 \text{ in}^2.
$$[/tex]

This is the surface area of one beach ball.

Since the company needs to make [tex]$10$[/tex] beach balls, we multiply the surface area of one ball by [tex]$10$[/tex]:

[tex]$$
\text{Total Surface Area} = 10 \cdot 50.24 = 502.4 \text{ in}^2.
$$[/tex]

Thus, the total surface area for [tex]$10$[/tex] beach balls is

[tex]$$
\boxed{502.4 \text{ in}^2}.
$$[/tex]