Answer:
Sphere's surface [tex]\approx 676.47\,\,cm^2[/tex]
Step-by-step explanation:
Recall that the circumference of a sphere is related to the sphere's radius (R) via:
[tex]circumference=2\,*\,\pi\,*\,R[/tex]
So we can solve for the radius R:
[tex]circumference=2\,*\,\pi\,*\,R\\46.1=2\,\pi\,R\\R=\frac{46.1}{2\,\pi} \\R=7.337\,\,cm[/tex]
Now with this information we can find the surface area of the sphere using the formula:
[tex]Surface= 4\,\pi\,R^2\\Surface=4\,\pi\,(7.337)^2\\Surface\approx 676.47\,\,cm^2[/tex]
