Q:

The formula for the volume of a right circular cone, V, is given below, where r represents the radius of the base of the cone and h represents its height. Determine which of the steps below are needed to solve the formula for r.

Accepted Solution

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