Answer:
Step-by-step explanation:
Given that,
The diameter of the base of a circular cone, d = 18 inches
Height of the cone, h = 40 inches
We need to find the lateral surface area of the cone. The formula of the lateral surface of the cone is given by :
l is the slant height of the cone,
, d = 18 inches, r = 9 inches
So,
So, the lateral surface area of the cone is .
Answer:
8 ft
Step-by-step explanation:
The area (A) of a triangle = bh
where b is the base and h the perpendicular height
Using b = 20 and h = 12, then
A = 0.5 × 20 × 12 = 120 ft²
Using b = 30 and perpendicular height = h, then
0.5 × 30 × h = 120
15h = 120 ( divide both sides by 15
h = 8
Answer:
781250
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the river
and y = length of each of the other two fenced sides
Then, x + 2y = 2500
<=> x = 2500- 2y
Area = xy = y(2500-2y)
= - + 2500y
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -2500/[2(-2)] = 625
x = 2500-2y = 1250
The maximum area that can be enclosed = xy = 1250*625 = 781250