A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is the maximum radius of the basketball that the designer can create? Use 3.14 for π.

Maximum radius of the ball can be 3.7 in

Step-by-step explanation:

Basketball can be considered as a sphere.

As the total area of the fabric is 171.9 in², the surface area of the basketball should also be the same.

As basketball is a sphere, its surface area is given by:

A = 4πr²

As A = 171.9 in² and π = 3.14, the equation becomes:

171.9 in² = (4) (3.14) (r²)

171.9 in² = 12.56r²

r² = 171.9 in² / 12.56

r² - 13.69 in²

r = √13.69 in²

r = 3.7 in

So the maximum radius of the ball can be 3.7 in