Question

Please help!!

Answer 1

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

$LSA = \pi rl$ and

The total surface area of the cone is

$TSA = \pi r^{2} + \pi r l$

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

$LSA = \pi (14)(27)$ sq ft

or, $LSA = 1187.5$ sq ft

Again,

$TSA = \pi(14^2)+\pi (14)(27)$ sq ft

or,$TSA = 1803.3$ sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.