Respuesta :
SA = 224.4pi (704.62)
Alternatively (706.02 without rounding)
First, we need to find the radius of the sphere with the following equation
[tex]r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49[/tex](pi as 3.14)
Now we can find the surface area using the following equation
[tex]SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\[/tex]