Answer:
The answer is 2pix3 or [tex]2\pi x^3\\[/tex]
Step-by-step explanation:
This problem brothers on the mensuration of solid shapes, a cylinder.
we know that the expression for the volume of a cylinder is
[tex]volume= \pi r^2h\\[/tex]
let the radius r of the base be= x
and the height h of the cylinder be = 2x
we can now solve the expression that represents the volume of the cylinder, in cubic units.
[tex]volume= \pi *x^2*2x\\volume= \pi *2x^3\\\\volume= 2\pi x^3\\[/tex]
