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):
[tex]l^2=r^2+h^2\Rightarrow l=\sqrt{r^2+h^2}=\sqrt{(8cm)^2+(15cm)^2}=17cm.[/tex]
The lateral area LA of the triangle is given by:
[tex]LA=\pi *r*l=\pi *8cm*17cm=136\pi cm^2,[/tex]Answer: 136
