Given:
the volume of a right cone is 27 π units³
And the height of the cone = h = 9 units
First, we will find the radius of the base (r) using the formula of the volume.
[tex]V=\frac{1}{3}\pi r^2h[/tex]Substitute V = 27π and h = 9
[tex]27π=\frac{1}{3}πr^2(9)[/tex]Solve the equation to find (r)
[tex]\begin{gathered} r^2=\frac{3*27}{9}=9 \\ r=\sqrt{9}=3 \end{gathered}[/tex]Now, we will find the circumference using the following formula:
[tex]circumference=2πr[/tex]substitute r = 3
[tex]circumference=2π(3)=6π[/tex]So, the answer will be: Circumference = 6π units
