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olasank [31]
2 years ago
10

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

tank is a cylinder with a 13 inch radius and a 75 inch height. The sleeve is 3 inches thick. The insulting material that makes up the sleeve is a fiberglass composite. How many cubic inches of fiberglass composite are needed to create each sleeve, to the nearest tenth of a cubic foot ?
Mathematics
1 answer:
Alex2 years ago
8 0

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

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And the answer for this case would be :

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Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

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And replacing we got:

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Now we can find the sampel deviation with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

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