1 Answer

Paul Osborne · Answer 1 · 2020-08-07T12:16:29+0000

Answer:

L.A. = 60π m² ≈ 188.4 m²

Explanation:

Lateral Area:

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:

$L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(6)(3.14)=188.4\ m^2$ Surface Area:

The formula of a Surfaace Area of a cone:

S.A.=B+L.A.

In the base we have the circle with the radius r = 5m.

The formula of an area of a circle"

$A_O=\pi r^2$

Substiute:

$B=\pi(5^2)=25\pi\ m^2\approx(25)(3.14)=78.5\ m^2$

$S.A.=60\pi+25\pi=85\pi\ m^2\approx188.4+78.5=266.9\ m^2$