Answer:
L.A. = 60π m² ≈ 188.4 m²
S.A. = 85π m² ≈ 266.9 m²
Step-by-step explanation:
Lateral Area:
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(6)(3.14)=188.4\ m^2[/tex]Surface Area:
The formula of a Surfaace Area of a cone:
[tex]S.A.=B+L.A.[/tex]
In the base we have the circle with the radius r = 5m.
The formula of an area of a circle"
[tex]A_O=\pi r^2[/tex]
Substiute:
[tex]B=\pi(5^2)=25\pi\ m^2\approx(25)(3.14)=78.5\ m^2[/tex]
[tex]S.A.=60\pi+25\pi=85\pi\ m^2\approx188.4+78.5=266.9\ m^2[/tex]
