L Lightbulb New member Joined Nov 1, 2005 Messages 12 Nov 1, 2005 #1 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.
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.
L Lightbulb New member Joined Nov 1, 2005 Messages 12 Nov 1, 2005 #2 h=3v/Pi(r)^2 I think I've got it
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Nov 1, 2005 #3 \(\displaystyle V = \frac{{\pi r^2 h}}{3}\) \(\displaystyle h = \frac{{3V}}{{\pi r^2 }}\)
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Nov 1, 2005 #4 Hello, Lightbulb! You've got it! If \(\displaystyle V\,=\,\frac{1}{3}\pi r^2h\), solve for \(\displaystyle h.\) Click to expand... We have: . \(\displaystyle \L\frac{1}{3}\pi r^2h \:= \:V\) Multiply by 3: . \(\displaystyle \L\pi r^2h \:= \:3V\) Divide by \(\displaystyle \pi r^2:\;\;\L h \:= \:\frac{3V}{\pi r^2}\)
Hello, Lightbulb! You've got it! If \(\displaystyle V\,=\,\frac{1}{3}\pi r^2h\), solve for \(\displaystyle h.\) Click to expand... We have: . \(\displaystyle \L\frac{1}{3}\pi r^2h \:= \:V\) Multiply by 3: . \(\displaystyle \L\pi r^2h \:= \:3V\) Divide by \(\displaystyle \pi r^2:\;\;\L h \:= \:\frac{3V}{\pi r^2}\)
