cone stuff

Lightbulb

New member
Joined
Nov 1, 2005
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12
I need lots of help today


if volume=1/3Pi(r)^2h

then does h=1/3Pi(r)^2
V

just in case everything I wrote allready is jibberish, I'm trying to find the formula to find the height of a cone if the volume is given.
 
V=πr2h3\displaystyle V = \frac{{\pi r^2 h}}{3}

h=3Vπr2\displaystyle h = \frac{{3V}}{{\pi r^2 }}
 
Hello, Lightbulb!

You've got it!

If V=13πr2h\displaystyle V\,=\,\frac{1}{3}\pi r^2h, solve for h.\displaystyle h.
We have: . \(\displaystyle \L\frac{1}{3}\pi r^2h \:= \:V\)

Multiply by 3: . \(\displaystyle \L\pi r^2h \:= \:3V\)

Divide by \(\displaystyle \pi r^2:\;\;\L h \:= \:\frac{3V}{\pi r^2}\)
 
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