The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units? 3x 6x 3πx2 9πx2

r=3x

Step-by-step explanation:

The Volume of a Cone

The volume of a cone of radius r and height h is:

We are given the volume of a cone is

Equating:

Multiplying by 3:

Simplifying by pi:

Since h=x:

Dividing by x:

Taking square roots:

Thus: r=3x

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square