Question

Find the surface area of the right cone.

Answer 1

First of all do you know the formula of finding the surface area of a cone?

Answer 2

πr(r+h2+r2)

Answer 3

Not really, the \(h^2\) and \(r^2\) are rooted.
\[A=\pi r(r+\sqrt{h^2+r^2})\]
They've given you the slant height, so we'll work this out from scratch.
The base is just a circle, right \(A=\pi r^2\) and the area for the cone itself is \(A=\pi r l\) where \(l\) is the slant height. Add them up and you will get the surface area of the entire cone.

Answer 4

how do i find the radius

Answer 5

That is \[A=\pi r^2+\pi r l\]. Find the radius using Pythagoras theorem.