Final answer:
The volume of a sphere with a radius of 6 units is approximately 288π cubic units using the formula V = 4/3 π r³.
Step-by-step explanation:
The question is asking for the volume of a sphere with a radius of 6 units. The volume V of a sphere is calculated using the formula V = 4/3 π r³, where r is the radius. Substituting the given radius of 6 units into the formula gives us V = 4/3 π (6³) = 4/3 π (216) = 288 π. Therefore, the approximate volume of the sphere is 288π cubic units.
The formula for the volume of a sphere is given by V = (4/3)πr³, where r is the radius of the sphere. In this case, the radius is 6, so we can substitute r = 6 into the formula to find the approximate volume:
V = (4/3)(π)(6)³ = (4/3)(π)(216) ≈ 288π
Therefore, the approximate volume of the sphere is 288π.