Answer:
The answer to your question is Volume = 27.5 ft³
Step-by-step explanation:
Data
Volume = ?
height = 3.9 ft
Circumference = 16.3 ft
Process
1.- Calculate the radius of the Cone
Circumference = 2πr = 16.3 ft
-Solve for r
r = 16.3/2π
r = 16.3/6.28
r = 2.5955 ft
2.- Calculate the volume
Volume = 1/3πr²h
-Substitution
Volume = 1/3(3.14)(2.5955)²(3.9)
-Simplification
Volume = 1/3(82.4966)
-Result
Volume = 27.5 ft³
Answer: 554
Step-by-step explanation:
If prior population proportion is known, then the formula to find the sample size is given by :-
As per given description, we have
p= 0.1
E=0.025
Critical z-value for 95% confidence : 
Then,
Hence, the minimum sample size required = 554.
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
P = 10 + x + 2x + 7
= (10 + 7) + (x + 2x)
= 17 + 3x
Therefore, the perimeter is 17 + 3x feet.
