SOLUTION: I have been given the volume of a cone, 100 in cubed. I need to find the function that models the height of the cone in terms of it's radius. Any help would be appreciated.

Question 5052: I have been given the volume of a cone, 100 in cubed. I need to find the function that models the height of the cone in terms of it's radius. Any help would be appreciated.
Found 3 solutions by rapaljer, cleomenius, Alan3354:
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
This is the formula for the volume of a cone:

You are given the volume V = 100, so substitute that for V in the formula:

Next, multiply both sides of the equation by 3, so as to eliminate the fraction:

Now, you need to get h by itself, so divide both sides by

R^2 at SCC

Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
I am not sure I understand your question.
The way it is phrased, we have two unknowns, the radius and the height.
THe previous answer will give you the height as determined by a known radius, if this is what you are looking for.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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PS it's = it is

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