Question

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

Answer 1

Answer:

False

Step-by-step explanation:

The surface area of the cone is

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

$SA=\pi r^2 +\pi\times r\times 2r$

$SA=\pi r^2 +2\pi\times r^2$

$SA=3\pi r^2$

The surface area of the cylinder is:

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

$SA=2\pi r^2 +2\pi\times r\times r$

$SA=4\pi r^2$