The formula for the volume of a sphere is the following:
[tex]V= \dfrac{4}{3} \pi r^3[/tex]
Plug in V=5000π and solve for the radius.
[tex]5000 \pi = \dfrac{4}{3} \pi r^3[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]5000 = \dfrac{4}{3} r^3[/tex]
Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).
[tex]r^3=3750[/tex]
Take the cube root of both sides
[tex]r \approx 15.5[/tex]
Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:
[tex]S=4 \pi r^2[/tex]
Plug in r=15.5
[tex]S \approx 3033[/tex]
The second choice is your answer.
