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
and
The total surface area of the cone is
where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
sq ft
or, 
sq ft
Again,
sq ft
or,
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.
The solutions are 
.
Solution:
Given equation:
Add 
on both sides.
-------- (1)
(given) -------- (2)
Equate (1) and (2).
Add 
on both sides.
Add 5 on both sides.
Divide by 5 on both sides, we get
Taking square root on both sides, we get
Substitute 
in (1).
Substitute 
in (1).
Therefore the solutions are .
Option C is the correct answer.
The Alpitude is 5 because that is what the positive slope is. The Vertex is (2,6) because that is the lowest point on the graph. The equation is
y=5lx-2l-6 (lx-2l reprsents the absolute value of x-2)
