Answer:
[tex]V=\frac{1}{3}\pi \frac{x^4}{8}\ units^3[/tex]
Step-by-step explanation:
The volume of a cone has the following form:
[tex]V=\frac{1}{3}\pi r^3h[/tex]
In this case we know that:
[tex]r=\frac{x}{2}\ units[/tex] and [tex]h=x\ units[/tex]
Therefore the Volume is:
[tex]V=\frac{1}{3}\pi (\frac{x}{2})^3(x)[/tex]
Finally the expression that represents the volume of the cone, in cubic units is:
[tex]V=\frac{1}{3}\pi \frac{x^4}{8}\ units^3[/tex]
