Vector u = i +j -2 k and v = 2 i + 3 j can be used to form a cone. The cone forms by rotating u about v through 360 degrees.
Find the volume of the cone.
I drew the diagram already, I need the r and h. But I don't know how to solve this question. This question is something to do with vectors.
Hint: volume of cone = surface of bottom * height/3
assuming $\theta$ is the angle between $u$ and $v$
$$r_{bottom} = \cos{ \theta}*|u|$$
$$h = \sin{ \theta}*|u| = |v|$$