Answer:
S=546 [tex]ft^{2}[/tex]
Step-by-step explanation:
The equation for the volume of a sphere and the surface area of a sphere are as follows
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
[tex]S=4\pi r^{2}[/tex]
As we know that V=1200 we can use the volume equation to solve for r
[tex]1200=\frac{4}{3} \pi r^{3}\\900=\pi r^{3} \\[/tex]
Now we can plug r into the surface area equation
[tex]S=4\pi (\sqrt[3]{\frac{900}{\pi } })^{2} \\\\S=546.09\\S=546 ft^2[/tex] }
