# A cone has a perpendicular height of 12cm and slant height of 13cm. Calculate it's total surface area (take pie r =3.142)?

##### 1 Answer

The surface area is 282.78

#### Explanation:

The perpendicular height,

**Equation I**

**Equation II**

The total surface area of a cone,

**Equation III**

The formula for the lateral surface area is

**Equation IV**

The formula for the area of the base is

**Equation V**

Substitute **Equations IV** and **V** into **Equation III**.

**Equation VII**

Substitute **Equations I** and **II** into **Equation VII**.

Now evaluate with