Respuesta :
A right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.
What is a right circular cylinder?
The right circular cylinder is a cylinder with circular bases that are parallel to one another.
Three dimensions make up its form.
The two bases of the cylinder are joined at their centers by the cylinder's axis.
Sphere:
A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.
The radius of the right circular cylinder will be:
The formula for the volume of a sphere: V = 4/3πr²
Now, substitute r = 12 as shown:
V = 4/3πr²
V = 4/3π12²
V = 4/3π144
V = 7238.22947
Rounding off: 7238 units³
Nw, the formula for the volume of a right circular cylinder:
V = πr²h
Substitute V = 7238 and calculate for r as follows:
V = πr²h
7238 = πr²h
r² = 7238/πh
r = √7238/πh
Therefore, a right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.
Know more about the right circular cylinder here:
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