Final answer:
The student appears to be asking for the volume of a spherical cap with height 6, possibly in a sphere of radius 6. The volume for a half-sphere (spherical cap) would be ⅓πr³. Complete information about the sphere's radius is required for an accurate answer.
Step-by-step explanation:
The student seems to be asking how to find the volume of a liquid needed to fill a partial sphere, or a spherical cap, with height h being 6 units. However, as the radius of the sphere isn't provided, we must assume there is missing information or that the radius is also 6, considering the height reaches the radius when the sphere is half full.
Normally, the volume of a spherical cap is found using the formula V = (1/3)πh^2(3R - h), where R is the radius of the entire sphere and h is the height of the cap. If the radius is equal to the height, the sphere is half full, and we would use the formula for half the volume of a sphere, which is V = ⅓πr³.
In the context of the information given, we can use the provided example of the volume calculation of a cylinder to illustrate the general approach to finding volume using the formula V = πr²h, which shows the importance of Pi (π) in volume calculations of circular shapes. For a full sphere, the volume formula is V = ⅔πr³, and its surface area is 4πr².