Answer:
17.85 cm
Step-by-step explanation:
1) Area of a sphere formula: [tex]A=4\pi r^{2}[/tex]
2) Plug in A: 1000 = [tex]4\pi r^{2}[/tex]
3) Simplify: 1000 = 12.56[tex]r^{2}[/tex]
4) Divide Each Side By 12.56: 79.61783439 = [tex]r^{2}[/tex]
5) Take the Square Root of 79.61783439 to Solve for [tex]r[/tex]: 8.922882628 = [tex]r[/tex]
6) Double [tex]r[/tex] to get the diameter: 8.922882628*2= 17.84576486
7) Round to the Nearest Tenth: 17.85 cm
