Hi!
I am having trouble parametrizing this tower. Specifically the radius which has to be a function of the height $Z$
$$0<z<H, 0 ≤ r ≤ R(2 − z/H), \quad 0<\theta<2\pi$$
I do not understand how they found the radius inequalities. Any help is appreciated.
Thanks!
$r$ will be a linear function of $z$, if the sides are straight, so the limit for $r$ will be in the form $0<r<az+b$. You can find the constants $a$ and $b$ knowing the slope/intercept of the straight line sides of the tower.