Question

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. Multiply both sides of the equal sign by h. Take the square root of both sides of the equation. Divide both sides of the equal sign by 3. Divide both sides of the equation by h. Multiply both sides of the equation by 3. Square the quantities on both sides of the equation.

Answer 1

Multiply both sides of the equation by 3

Divide both sides of the equation by h

Take the square root of both sides of the equation

Explanation:

we know that

The volume of a right circular cone is equal to

`V=(1)/(3)\pi r^(2) h`

Solve for r

That means------> isolate the variable r

Multiply both sides of the equation by 3

`3V=\pi r^(2) h`

Divide both sides of the equation by h

`3V/h=\pi r^(2)`

Divide both sides of the equation by pi

`3V/(\pi h)=r^(2)`

Take the square root of both sides of the equation

`r=\sqrt{(3V)/(\pi h)}`