Answer:
[tex]r=\sqrt{\frac{3V}{(\pi h)}}[/tex]
Step-by-step explanation:
we know that
The volume of a right circular cone is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
where
r is the radius of the base of the cone
h is the height
Solve for r-----> That means, isolate the variable r
so
step 1
Multiply by 3 both sides
[tex]3V=\pi r^{2}h[/tex]
step 2
Divide by [tex](\pi h)[/tex] both sides
[tex]\frac{3V}{(\pi h)}=r^{2}[/tex]
step 3
take square root boot sides
[tex]r=\sqrt{\frac{3V}{(\pi h)}}[/tex]
