The volume of the cylinder is three times the volume of the cone having the same height and radius. option C is correct.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
A cylinder has a radius of 5 centimeters and a height of 8 centimeters.
The volume of the cylinder will be
[tex]\rm Volume \ of \ the \ cylinder = \pi r^2 h\\\\Volume \ of \ the \ cylinder = \pi * 5^2 * 8\\\\Volume \ of \ the \ cylinder = 200\pi[/tex]
The volume of the cone will be
[tex]\rm Volume \ of \ the \ cone = \pi r^2 h\\\\Volume \ of \ the \ cone= \dfrac{1}{3} \pi * 5^2 * 8\\\\Volume \ of \ the \ cone= \dfrac{200\pi}{3}[/tex]
Thus, on comparing the volume of the cone to the volume of the cylinder.
[tex]\rm Volume \ of \ the\ cylinder = 3* Volume\ of\ the\ cone \\[/tex]
The volume of the cylinder is three times the volume of the cone having the same height and radius.
Thus, option C is correct.
More about the geometry link is given below.
https://brainly.com/question/7558603
