Question

If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is

(a) $2{\mathrm{\pi h}}^2$

(b) $\frac{3}{2}{\mathrm{\pi h}}^2$

(c) $\frac{4}{3}{\mathrm{\pi h}}^2$

(d) ${\mathrm{\pi h}}^2$

Answer 1

Let r be the radius of the cylinder and h be its height.

It is given that:

Therefore, total surface area S is:

Hence, the correct option is (b)