v = (1/3)(pie)(r^2)(h) solve for h?

Answer 1

V = 1/3 π r² h

3V = 3(1/3) π r² h

3V / π r² = π r² h / π r²

3V / π r² = h

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Answer 2

Okay. Since you are multiplying everything on the right side of the equation, and the left side is just one variable. To solve for h you just divide each side by 1/3πr².
So, here's the original equation:

V=1/3πr²h

Now let's divide both sides of the equation by 1/3πr², since what you do to one side of the equation you do to the other. We get:

V/(1/3πr²)=(1/3πr²h)/(1/3πr²)

Then, obviously, on the right side of the equation the 1/3πr² term cancels out. Now we have:

h=V/(1/3πr²)

Now it's not a good idea to leave a fraction in the denominator, so now we should multiply both sides of the fraction by 3.

(V*3)/(1/3πr²*3)

In the denominator everything is multiplied, and since multiplication is cumulative, we can simplify it by multiplying the two constants, 1/3 and 3, which is 1, and since one multiplied by anything equals 1, it would be πr² on the bottom.
So,

h=3V/πr²

Therefore, the value of h is:

3V
-----------
πr²

There you go. I'm glad I could help. :)

Answer 3

h=v over 1/3(pie)r^2
or h=3v over (pie)r^2_

Answer 4

h = v/ [(1/3)(pi) r^2]

Answer 5

v = (1/3)(π)(r²)(h)

h = v / ((1/3)(π)(r²))
.

Answer 6

mmmm. . . pie.