The volume of a cylinder having the same base and same height is 18π.
It is given that
The volume of a cone V = 6π cubic inches.
What is the volume of a cone?
The volume of a cone is given by [tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Where r is the radius of the cone
h is the height of the cone
The volume of the cylinder having the same radius and height will be given by
[tex]V' = \pi r^{2} h[/tex]
[tex]\frac{V'}{V} = 3[/tex]
[tex]V' = 3V\\\\V' = 3*6\pi \\\\V' =18\pi[/tex]
Therefore, the volume of a cylinder having the same base and same height is 18π.
To get more about cones and cylinders visit:
https://brainly.com/question/22001691
