The volume of a sphere is 3,000 m. What is the surface area of the sphere to the nearest square meter?
To find the surface area of a sphere, we use the formula:
Surface Area = 4πr^2
Given that the volume of the sphere is 3,000 m^3, we can find the radius (r) by rearranging the volume formula for a sphere:
V = (4/3)πr^3
3,000 = (4/3)πr^3
2257.01 = r^3
r ≈ 13.6 m
Now, we can calculate the surface area of the sphere:
Surface Area = 4π(13.6)^2
Surface Area ≈ 2,326 m^2
Therefore, the surface area of the sphere is approximately 2,326 square meters.