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  • 08-05-2019
  • Mathematics
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the cone and the cylinder below have equal surface area. True or false.

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

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 08-05-2019

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]

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