Question

Find the total surface area of this cone.

Leave your answer in terms of T.
25m
ما
8m
TT
Hint: Surface Area of a Cone = Tre + B
Where l = slant height, and B = area of the base
Enter

Answer 1

Given

`\begin{gathered} r=8m \\ l=25 \end{gathered}`

The given formula

`\begin{gathered} Surface\text{ area of a cone =}\pi rl+B \\ where\text{ l is slant height} \\ and\text{ B is the area base} \end{gathered}`

The base is circle

`\begin{gathered} Area\text{ of a circle=}\pi r^2 \\ Area\text{ of a circle=}\pi8^2 \\ Area\text{ of a circle =64}\pi \end{gathered}`

Now back to the given formula

`\begin{gathered} Surface\text{ of area of cone=}\pi rl+B \\ B=64\pi \\ l=25 \\ r=8 \\ \end{gathered}`
`\begin{gathered} Surface\text{ of area of cone =}\pi*8*25+64\pi \\ Surface\text{ofareaofcone=200}\pi\text{+64\pi} \\ Surface\text{ofareaofcone=264\pi} \end{gathered}`

The final answer

`264\pi m^2`