Answer:
565.48 sq. in.
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
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,
= 565. 48 sq. in. which is the required answer.