cone stuff

[Lightbulb]

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.

 

[Lightbulb]

h=3v/Pi(r)^2

I think I've got it

 

[pka]

\(\displaystyle V = \frac{{\pi r^2 h}}{3}\)

\(\displaystyle h = \frac{{3V}}{{\pi r^2 }}\)

 

[soroban]

Hello, Lightbulb!

You've got it!

If \(\displaystyle V\,=\,\frac{1}{3}\pi r^2h\), solve for \(\displaystyle h.\)

We have: . \(\displaystyle \L\frac{1}{3}\pi r^2h \:= \:V\)

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

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