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.
Divide the total number correct, by the total number of questions on the test. 42/60=70%
Hi, I think the answer should be $4.26
7.25% × $24 = $1.74
$24 +1.74 = $25.74
Change is the difference between the amount tendered and this total amount:
$30.00 -25.74 = $4.26
Answer: one hundred eleven thousandths
Step-by-step explanation:
Answer:
You are expected to lose $0.05 (or win -$0.05)
Step-by-step explanation:
Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.
In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:
The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:
Therefore, with a $1 bet, you are expected to lose roughly $0.05
