Considering it's surface area, it is found that [tex]48\pi \text{ft}^2[/tex] of vinyl was used to make the exercise ball.
What is the surface area of a cylinder?
The surface area of a cylinder of radius r and height h is given by:
[tex]S = 2\pi r(r + h)[/tex]
In this problem, we have that r = 3 ft and h = 5 ft, hence the surface area in ft² is given by:
[tex]S = 2\pi r(r + h) = 2\pi \times 3(3 + 5) = 48\pi[/tex]
Hence, [tex]48\pi \text{ft}^2[/tex] of vinyl was used to make the exercise ball.
More can be learned about the surface area of a cylinder at https://brainly.com/question/26702574
