Final answer:
The volume of a sphere is calculated using the formula V = (4/3)πr³, and it is proportional to the cube of the radius. This formula is essential in understanding the concept of volume in relation to the sphere's dimensions.
Step-by-step explanation:
The question is pertaining to the volume of a sphere. When trying to find the volume of a sphere, the correct formula is V = (4/3)πr³, where V represents volume and r represents the radius of the sphere. This is because the volume is proportional to the cube of the radius of the sphere. Conversely, the surface area of a sphere is given by the formula A = 4πr².
In discussions about spheres, especially when comparing with other shapes like cubes, it's important to remember that a sphere that fits perfectly inside a cube will have a smaller volume than that of the cube itself. If the sphere's radius is 'r', then the cube's edge length would be '2r', rendering the cube's volume as a³ = 8r³. Thus, the sphere's volume is less than or equal to half of the cube's volume.