Question

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

Answer 1

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