Question

Consider the following formula used to find the volume of a cone.

Answer 1

To get rid of the denominator, you have to multiply each side by three, which leaves πr^2 h = 3V, then to get h alone, you need to divide by πr^2 (Since that's being multiplied by h, you wouldn't subtract), so the end equation would be B.

Answer 2

Answer:

Option: B is the correct answer.

 The formula that can be used to find the height of the cone is:

                     $h=\dfrac{3V}{\pi r^2}$

Step-by-step explanation:

The formula for finding the volume of a cone is given  by:

             $V=\dfrac{1}{3}\pi r^2h$

where r is the radius of the base of the cone and h is the height of the cone.

Now in order to find the height of the cone we need to express h in terms of r and V.

$h=\dfrac{V}{\dfrac{1}{3}\pi r^2}\\\\\\h=\dfrac{3 V}{\pi r^2}$

                     Hence, the formula is:

                       $h=\dfrac{3V}{\pi r^2}$