The expression πr²h represents the volume of the cylinder if the cylinder with a base of radius r is the area of the base times the length of its height.
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have radius of the cylinder is r
As we know the base of the cylinder is circular so the area of the base:
Base area = area of circle = πr²
Volume of the cylinder = base area×h
h is the height of the cylinder
Volume of the cylinder = πr²h
Thus, the expression πr²h represents the volume of the cylinder if the cylinder with a base of radius r is the area of the base times the length of its height.
Learn more about the cylinder here:
brainly.com/question/3216899
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