Question

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.

Answer 1

Answer:

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