(Solved): Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of ...

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius \( \mathrm{R} \). The right circular cylinder of maximum volume that can be placed inside of a sphere of radius \( \mathrm{R} \) has radius \( \mathrm{r}= \) and height \( \mathrm{h}= \) (Type exact answers, using radicals as needed.)