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EastWind [94]
3 years ago
5

Find the lateral area of the cone in terms of π.

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

15\pi\ cm^{2}

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

LA=\pi rl

where

r is the radius of the base

l is the slant height

we have

r=3\ cm

Applying the Pythagoras Theorem find the slant height

l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm

substitute in the formula

LA=\pi (3)(5)=15\pi\ cm^{2}

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