Answer:
565.48 sq. in.
Step-by-step explanation:
Given the Slant height and radius, we are asked to find the lateral area of the cone.
Lateral area of the cone is given by [tex]$ A_L = \pi \times r \times l $[/tex]
where, 'r' is the radius of the cone.
and 'l' is its slant height.
From the figure, we see that the slant height of the cone, l = 15 in
Also, the radius of the cone, r = 12 in.
Therefore, [tex]$ A_ L = \pi \times 15 \times 12 $[/tex]
= 565. 48 sq. in. which is the required answer.
