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.

13.7 in
6.9 in
3.7 in
3.4 in

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.

13.7 in
 6.9 in
 3.7 in
 3.4 in

Vocaloid · Answer

The fabric will be used to cover the surface of the basketball. Therefore, we need the surface area of a sphere formula.

SA = 4 * pi * r ^ 2

Plug in the fabric area for SA, 3.14 for pi, and r for the radius.