Question

How do you calculate the surface area of a cone?

Answer 1

unravelling the cone will give us the surface area, so we do the following

Answer 2

if we make a circle and take a ratio and find the areas, we will be left with the area of the figure drawn in this image with \[A = \pi r y\] so now to take the surface area of a cone, we will have \[\huge SA = \pi r y + \pi r ^2\]

Answer 3

We can arrive at the same formula with a bit of calculus.