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

Answer:
False
Step-by-step explanation:
The surface area of the cone is
[tex]V=\pi r^2 +\pi rl[/tex]
[tex]SA=\pi r^2 +\pi\times r\times 2r[/tex]
[tex]SA=\pi r^2 +2\pi\times r^2[/tex]
[tex]SA=3\pi r^2[/tex]
The surface area of the cylinder is:
[tex]SA=2\pi r^2 +2\pi rh[/tex]
[tex]SA=2\pi r^2 +2\pi\times r\times r[/tex]
[tex]SA=4\pi r^2 [/tex]