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I'm not given any numbers, just $h$ and $r$. I have to prove this volume to eventually find a centroid. Using the $xy$ plane as the base, extending upwards into the $z$ plane, the cone has a height $h$ and radius $r$.

I know that I will integrate a value of $z$ from $0$ to $h$. So I know that it will be $\int\pi r^2 dz$. I keep getting stuck on how to find $r$ in terms of $z$. I know I will use similar triangles, but when I'm not given any numbers at all, how do I compare them? How do I get $r$ in terms of $z$?

Sorry, I'm not sure how to use any code on here yet. A noooooooob.

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