Question

The cone and the cylinder below have equal surface area. True or false.

Answer 1

False

Explanation:

The surface area of the cone is

`V=\pi r^2 +\pi rl`

`SA=\pi r^2 +\pi* r* 2r`

`SA=\pi r^2 +2\pi* r^2`

`SA=3\pi r^2`

The surface area of the cylinder is:

`SA=2\pi r^2 +2\pi rh`

`SA=2\pi r^2 +2\pi* r* r`

`SA=4\pi r^2`