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 :

A. $$\frac{{\text{h}}}{2}$$ units

B. 1h units

C. 2h units

D. 4h units

Answer: Option C

Solution(By Examveda Team)

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