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Elden [556K]
3 years ago
11

Solve for h: v = pi squared multiplied by h h = V multiplied by pi over r squared h = V over pi r squared h = V plus pi r square

d h = V minus pi r squared
Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0

Hello from MrBillDoesMath

Answer:

See below for steps.

Discussion:

As I understand the problem statement we have a cylinder of height h and radius r. The volume of the cylinder is given by the formaul:

V = (pi * r^2) h

Divide both sides by (pi * r^2):

V\ (pi * r^2)) =     ( (pi * r^2) * h ) \ ((pi * r^2)   =>

V\ (pi * r^2)  = 1 * h = h  as  (pi * r^2)   \ (pi * r^2))

Therefore, h =  V\ (pi * r^2)



Thank you,

Mr. B


Alex787 [66]3 years ago
7 0

Answer:

h=\frac{V}{\pi r^2}

Step-by-step explanation:

We have been given the equation V=\pi r^2h and we have to solve this equation for h.

In order to isolate for h, we have to eliminate \pi r^2 from the right hand side of the equation.

We can see that  \pi r^2 is in multiplication with h in the right hand side. Hence, in order to get rid of this, we can do the opposite operation of multiplication i.e. division.

Hence, divide both sides by  \pi r^2

\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}

On simplifying, we get

h=\frac{V}{\pi r^2}

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