Answer:
Step-by-step explanation:
height h = 11 cm
slant height s = 11.180339887499 cm
side length a = 4 cm
lateral edge length e = 11.357816691601 cm
1/2 side length r = 2 cm
volume V = 58.666666666667 cm3
lateral surface area L = 89.442719099992 cm2
base surface area B = 16 cm2
total surface area A = 105.44271909999 cm2
Answer:
The land which are used for exhibits are <u>89 acres</u> (approximately).
Step-by-step explanation:
Given:
Village is spread across 240 acres of land. 37% of land is used for the exhibits.
Now, we have to find acres of land which are used for exhibits.
So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:
According to question:
37% of 240 acres of land.



So, the land used for exhibits are 88.80 acres.
Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).
Answer:
Pick the best solution.
Step-by-step explanation:
Volume of a cone is V = ⅓πr²h
If cone diameter is 4.3
V = ⅓π(4.3/2)²(5.2) = 25.17148... ≈ 25.17 ft³
If cone radius is 4.3
V = ⅓π(4.3)²(5.2) = 100.685950... ≈ 100.69 ft³
If cone diameter is 5.2
V = ⅓π(5.2/2)²(4.3) = 30.439938... ≈ 30.44 ft³
If cone radius is 5.2
V = ⅓π(5.2)²(4.3) = 121.75975... ≈ 121.76 ft³
Polygon area = [circumradius^2 * # sides * sine (360/# sides)] / 2
small hexagon area =[5^2 * 6 * sine (60)] / 2
small hexagon area =[25 * 6 * 0.86603] / 2
<span><span>small hexagon area = 64.95225
</span>
sq feet
</span>
large hexagon area =[10^2 * 6 * sine (60)] / 2
large hexagon area =[600 * 0.86603] / 2large hexagon area =
<span>
<span>
<span>
259.809 </span></span></span>sq feet
Area of shaded region = large hexagon area -small hexagon areaArea of shaded region = <span>
<span>
259.809</span> -</span>64.95225
<span>Area of shaded region =
194.85675 </span><span>sq feet
</span>
Source:http://www.1728.org/polygon.htm