Answer:
1024 in^2
Step-by-step explanation:
1/8 inch thick
inner diameter of 8.5
volume shell=volume total-volume shell
1/8=0.125
diameter/2=radius
radius inner=8.5/2=4.25
radiustotal=inner+outer=4.25+0.125=4.375
so
Vouter-Vinner=(4/3)pi4.375³-(4/3)pi4.25³
Vshell=(4/3)(pi)(4.375³-4.25)
Vshell=(4/3)(pi)(83.740234375-76.765625)
Vshell=(4/3)(pi)(6.974609375)
Vshell=9.299479166666666666666pi cubic inches
Vshell≈16.433536180619 cubic inches
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Answer: 
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3*sqrt(7)
3 times the square root of 7
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Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is 
Answer:
11325.
Step-by-step explanation:
Step 1: address the formula, input parameters & values.
Input parameters & values:
The number series 1, 2, 3, 4, . . . . , 149, 150.
The first term a = 1
The common difference d = 1
Total number of terms n = 150
Step 2: apply the input parameter values in the formula
Sum = n/2 x (a + Tn)
= 150/2 x (1 + 150)
= 22650/2
1 + 2 + 3 + 4 + . . . . + 149 + 150 = 11325
Therefore, 11325 is the sum of positive integers up to 150.
Answer:
3.96
Step-by-step explanation:
Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.
Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.
5 9 17 11 8 11 16
Step 2: Calculate the mean of the data set;
5 + 9 + 17 + 11 + 8 + 11 + 16 = 77
Mean = 77 / 7
Mean = 11
Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;
5 - 11 = (-6)² = 36
9 - 11 = (-2)² = 4
17 - 11 = (6)² = 36
11 - 11 = (0)² = 0
8 - 11 = (-3)² = 9
11 - 11 = (0)² = 0
16 - 11 = (5)² = 25
Step 4: Find the mean of the differences;
36 + 4 + 36 + 0 + 9 + 0 + 25 = 110
Mean = 110 / 7 = 15.71
Step 5: Take the square root of the Mean above to find the standard deviation;
²√15.71 = 3.96
