anonymous
  • anonymous
Express the volume of a cone, V, as a function of its radius, r, if the radius is 1/3 of the height. I tried (1/9) *pi * r^2 but it's wrong.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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wolf1728
  • wolf1728
Cone Volume = (π • r² • h) / 3 ((3 • Cone volume) / π) =r² • h If you want to calculate the volume of a cone when h/3 = r then let h = 6 and r = 2 Volume = 25.133 I think you want to calculate the relation between volume of a cone and radius but it seems the volume is connected both to the radius and the height.
blockcolder
  • blockcolder
It's supposed to be r^3, not r^2.
wolf1728
  • wolf1728
blockcolder Visit this link http://math.about.com/od/formulas/ss/surfaceareavol_2.htm or here http://www.math.com/school/subject3/lessons/S3U4L4DP.html or here http://wiki.answers.com/Q/What_is_the_formula_for_volume_of_a_cone and you will see those sites state that the volume of a cone is: (π • r² • h) / 3

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blockcolder
  • blockcolder
Yeah, and it was stated that the radius is 1/3 of height; i.e. r=h/3 or equivalently, h=3r. Thus, the formula for volume becomes \(\frac{\pi r^2(3r)}{3}=\pi r^3\). I should have clarified that I was referring to OP's formula, not yours. My bad.
wolf1728
  • wolf1728
Okay blockcolder. Yeah and I think I was a little too "quick on the draw" in my reply. And why hasn't mango213 shown up yet?
blockcolder
  • blockcolder
He's probably offline right now.
wolf1728
  • wolf1728
Anyway, I'm glad we got our disagreement all cleared up.

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