Question

The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?

Answer 1

First, solve for the radius of the sphere using the volume and the equation,
                                  V = 4πr³ / 3
Substituting for the known values,
                       3000π m³ = 4πr³/3
The value of r from the equation is approximately 13.10 meters. The equation for the surface area is,
                             SA = 4πr²
Substituting the value of radius,
                             SA = 4π(13.10 m)² = 2157.74 m²
Therefore, the surface area is approximately 2157.74 m².