- #1

Trollfaz

- 137

- 14

$$(r cos(\theta)) i + (r sin(\theta)) j + t k$$

$$0<\theta<2π , 0<t<h$$

For a conical surface of base rad ρ and height h,

$$z=kr -> z=k, r=ρ$$

$$k=\frac{h}{ρ}$$

Then the surface is

$$ \frac {tρcos(\theta)}{h} i + \frac {tρsin(\theta)}{h} j + t k$$

$$0<\theta<2π , 0<t<h$$

But how do I parametrize the surfaces in ## s θ z## usual cylindrical unit vectors