Question

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

V = πr^2 h/3 <--- In words, this is pi r squared times h over 3, it's all one thing.
Which of the following represents the formula that could be used to find the height of the cone?
A = h=π r^2 over 3V
B = h=3V over π r^2
C= h=3π r^2 over V
D = h=V over 3π r^2

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

Option: B is the correct answer.

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

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

Explanation:

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

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

Hence, the formula is:

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