Question

1. Calculate the surface area of a cone when the area of its base (Spagr) and the area of its side (Sšon) are known.

Answer 1

`36\pi cm^2`

Explanations:

The formula for calculating the surface area of a cone is expressed as;

`SA=base\text{ area}+curved\text{ surface area}`

Given the following

`\begin{gathered} base\text{ area}=16\pi cm^2 \\ side\text{ area}=20\pi cm^2 \end{gathered}`

Take the sum

`\begin{gathered} TSA=16\pi+20\pi \\ TSA=36\pi cm^2 \end{gathered}`

Hence the total surface area of the cone is 36pi square cm