Answer:
4√(3π) ft ≈ 12.28 ft
Step-by-step explanation:
The formulas for volume of a cone and a cylinder can be used to find the radius of the silo. Then the formula for the circumference of a circle can be used to find the circumference.
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Relevant formulas are ...
- V = πr²h . . . . . volume, cylinder with radius r, height h
- V = 1/3πr²h . . . . volume, cone with radius r, height h
- C = 2πr . . . . . . . . circumference of a circle with radius r
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<h3>radius from volume</h3>
The total volume of the silo is the sum of the volumes of a cylinder of height (15 -6) = 9 ft, and a cone of height 6 ft. Both have the same radius: r. The total volume is given as 132 ft³.
V = πr²h + 1/3πr²h' . . . . . . h = cylinder height, h' = cone height
132 ft³ = πr²(9 ft +1/3(6 ft)) = πr²(11 ft)
r² = 132 ft³/(11π ft) = 12/π ft²
r = √(12/π) ft = 2√(3/π) ft
<h3>circumference from radius</h3>
Then the circumference of the silo is ...
C = 2πr = 2π(2√(3/π)) ft = 4√(3π) ft ≈ 12.28 ft
The circumference of the base of the silo is 4√(3π), about 12.28 feet.
Answer:
the answers are 12.5, 5, 2, 0.8 and 0.32
Step-by-step explanation:
2(0.4)^-2
=2(6.25)
= 12.5
2(0.4)^-1
= 2(2.5)
=5
2(0.4)^0
=2(1)
=2
2(0.4)^1
=2(0.4)
=0.8
2(0.4)^2
=2(0.16)
=0.32
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
Answer:
Do you mean an MP3 player?
Step-by-step explanation:
