Respuesta :
Answer:
Option A is correct.
1,017.36 square feet does the base of the building measure.
Step-by-step explanation:
Given: Diameter of the base (d) = 36 feet , Height of the building (h) = 57.2 feet and slant height of the building(l) = 60 feet.
We have to find the area of the base of the building.
Since, the building is in the form cone.
Area of the base(A) of the cone is given by:
[tex]A= \pi r^2[/tex] ......[1]; where r is the radius of the cone
Diameter(d) = 2r
36 = 2r
Divide both sides by 2 we get;
r = 18 feet.
Substitute the value of r = 18 feet and [tex]\pi = 3.14[/tex] in [1] we get;
Area of the base of the building = [tex]3.14 \times (18)^2 = 3.14 \times 324 = 1017.36[/tex] square feet.
Therefore, 1,017.36 square feet does the base of the building measure.
