Answer:
[tex]r=2x\ units[/tex]
Step-by-step explanation:
The correct question is
The volume of a cylinder is 4πx^3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]V=4\pi x^{3}\ units^3[/tex]
[tex]h=x\ units[/tex]
substitute in the formula
[tex]4\pi x^{3}=\pi r^{2}(x)[/tex]
simplify
[tex]4x^{2}=r^{2}[/tex]
[tex]r=2x\ units[/tex]
