amanda219420
amanda219420 amanda219420
  • 04-04-2019
  • Mathematics
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Find the lateral area of the cone in terms of π.

Find the lateral area of the cone in terms of π class=

Respuesta :

calculista
calculista calculista
  • 13-04-2019

Answer:

[tex]15\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

[tex]LA=\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=3\ cm[/tex]

Applying the Pythagoras Theorem find the slant height

[tex]l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm[/tex]

substitute in the formula

[tex]LA=\pi (3)(5)=15\pi\ cm^{2}[/tex]

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