Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\pi r^2 h[/tex]
r is the radius of the base of a cylinder
h is height of cylinder
The height of a cylinder is twice the radius of its base. It means that h = 2r
So, volume of cylinder becomes :
[tex]V=\pi r^2(2r)\\\\V=2\pi r^3[/tex]
So, the volume of the cylinder is given by the expression [tex]2\pi r^3[/tex].