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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

Respuesta :

imagreatbminus
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:

Option: B is the correct answer.

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

                     [tex]h=\dfrac{3V}{\pi r^2}[/tex]

Step-by-step explanation:

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

             [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

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.

[tex]h=\dfrac{V}{\dfrac{1}{3}\pi r^2}\\\\\\h=\dfrac{3 V}{\pi r^2}[/tex]

                     Hence, the formula is:

                       [tex]h=\dfrac{3V}{\pi r^2}[/tex]

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