Answer :
Answer:
2/3pix³ or [tex]\frac{2}{3} \pi x^3\\[/tex]
Step-by-step explanation:
This problem brothers on the mensuration of solid shapes, a cone.
we know that the expression for the volume of a cone is
[tex]volume= \frac{1}{3} \pi r^2h[/tex]
let the radius r of the cone be= [tex]x[/tex]
and the height h is =[tex]2x[/tex]
we can now solve the expression that represents the volume of the cone, in cubic units.
[tex]volume= \frac{1}{3} \pi *x*2x\\\volume= \frac{1}{3} \pi *2x^3\\\volume= \frac{2}{3} \pi x^3\\[/tex]