Find the surface area of a cone whose base radius is 4 cm and the height is 10 cm. (Take pi = 3.142)

Base radius $r = 4$ cm.
Height $h = 10$ cm.
$\pi = 3.142$.

The slant height $l$ of a cone is given by the formula $l = \sqrt{r^2 + h^2}$.

The total surface area $A$ of a cone is given by the formula $A = \pi r l + \pi r^2$.

The surface area of the cone is $\boxed{185.6 \text{ cm}^2}$.

3. The base radius is 12 cm and the top radius is 5 cm. If the slant height is 14 cm, calculate the surface area of the frustum. (Take $\pi = 3.142$)

Base radius $R = 12$ cm.
Top radius $r = 5$ cm.
Slant height of frustum $L = 14$ cm.
$\pi = 3.142$.

The curved surface area of a frustum is given by the formula $A_{curved} = \pi (R+r)L$.

The area of the base is given by $A_{base} = \pi R^2$.

The area of the top is given by $A_{top} = \pi r^2$.

The total surface area $A_{total}$ of the frustum is the sum of the curved surface area, the base area, and the top area.

The surface area of the frustum is $\boxed{1278.794 \text{ cm}^2}$.