The height and radius of the right circular cone is 4 cm and 3 cm respectively. What is the total surface area of the cone?

Let's assume the height and radius of right circular cone are 'h' and 'r' respectively.

The height and radius of the right circular cone is 4 cm and 3 cm respectively.

h = 4 cm

r = 3 cm

The total surface area of the cone = $$\pi\ r\left(r+\sqrt{\ r^2+h^2}\right)$$

= $$\pi\ 3\left(3+\sqrt{\ \left(3\right)^2+\left(4\right)^2}\right)$$

= $$3\pi\ \left(3+\sqrt{\ 9+16}\right)$$

= $$3\pi\ \left(3+\sqrt{\ 25}\right)$$

= $$3\pi\ \left(3+5\right)$$

= $$3\pi\ \times\ 8$$

= $$24\pi cm^2$$