To find the radius, we use the formula:
Volume = (4/3)πr^3
Rearranging this equation to solve for r:
r^3 = (3/4π)(Volume)
r = (3/4π)(Volume)^(1/3)
Plugging in the given volume, we can calculate the radius:
r = (3/4π)(3,052.08)^(1/3)
Simplifying this expression, we find that the radius is approximately 9.82 meters.
Now that we have the radius, we can calculate the surface area using the formula:
Surface Area = 4π(9.82)^2
Simplifying this equation, we find that the surface area of the sphere is approximately 1,204.91 square meters.
Therefore, the surface area of the sphere is approximately 1,204.91 square meters.