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
