Question

If the volume of the cylinder is to be calculated, what would be the total standard deviation of the volume?

Answer 1

first calculate the partial derivatives of the two fromulas for each measured variable. Then you calculate the sum of the products of the errors (Dr, DR, and dh) with the squared corresponding partial derivative.and or the deviation

Example for the length of the mantle:

dm/dR = (R-r)/root(w)

dm/dr = -(R-r)/root(w)

dm/dh = h/root(w)

where w = (R-r)²+h². The squared derivatives are

(dm/dR)² = (R-r)²/w

When it comes to statistics and probability theory, standard deviation is used. It demonstrates the accuracy of your data and is used to measure both variability and diversity.

Standard deviation is calculated by taking the square root of the variance. In contrast to a high standard deviation, which indicates that the entered data points are most likely farther from the mean, a low standard deviation indicates that the entered data points are most likely closer to the mean

to learn more about deviation:

brainly.com/question/16555520

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