Find the lateral area of this cone.Leave your answer in terms of 7.15 cm18cmLA = [ ? ]7 cm2=Hint: Lateral Area of a Cone = treWhere l = slant height

Question

asked Jun 20, 2023 125k views

1 Answer

Nzeemin · Answer 1 · 2023-06-26T22:32:32+0000

Step-by-step explanation

The parts of a cone are:

We must compute the area of the cone of the figure. From the figure, we see that the cone has:

• h = height = 15 cm,

,

• r = radius base = 8 cm.

Because r and h form a right triangle, we can use Pitagoras Theorem to compute the slant height (the hypotenuse):

$l^2=r^2+h^2\Rightarrow l=√(r^2+h^2)=√((8cm)^2+(15cm)^2)=17cm.$

The lateral area LA of the triangle is given by:

$LA=\pi *r*l=\pi *8cm*17cm=136\pi cm^2,$ Answer: 136