The radius of base and curved surface area of a right cylinder is 'r' units and 4πrh square units respectively. The height of the cylinder is :

Answer: Option C

Radius of the base = r units
Curved surface area of a right cylinder = $$4\pi \text{r}h$$
Curved surface area of cylinder = $$2\pi \text{RH}$$
∴ According to the question,
$$2\pi \text{rH = }4\pi \text{rh}$$
⇒ Height of cylinder = 2h units