Answer:
L.A. = 188.4 m²
S.A. = 266.9 m²
Step-by-step explanation:
The formula of a lateral area of a cone:
[tex]L.A.=\pi rs[/tex]
r - radius
s - slant height
We have r = 5m and s = 12m. Substitute:
[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]
The formula of a surface area of a cone:
[tex]S.A.=\pi r(r+s)[/tex]
Substitute:
[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]
