1 Answer

Junia · Answer 1 · 2020-01-29T22:06:05+0000

Answer:

L.A. = 188.4 m²

Explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rs$

r - radius

s - slant height

We have r = 5m and s = 12m. Substitute:

$L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2$

The formula of a surface area of a cone:

$S.A.=\pi r(r+s)$

Substitute:

$S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2$