The bottom of a cylindrical container has an area of 10

Chapter 2, Problem 2E

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QUESTION:

The bottom of a cylindrical container has an area of \(10\ \mathrm {cm^2}\). The container is filled to a height whose mean is 5 cm, and whose standard deviation is 0.1 cm. Let V denote the volume of fluid in the container.

a. Find \(\mu_{V}\).

b. Find \(\sigma_{V}\).

Equation Transcription:

Text Transcription:

10 cm2

mu_V

sigma_V

Questions & Answers

QUESTION:

The bottom of a cylindrical container has an area of \(10\ \mathrm {cm^2}\). The container is filled to a height whose mean is 5 cm, and whose standard deviation is 0.1 cm. Let V denote the volume of fluid in the container.

a. Find \(\mu_{V}\).

b. Find \(\sigma_{V}\).

Equation Transcription:

Text Transcription:

10 cm2

mu_V

sigma_V

ANSWER:

Answer

Step 1 of 3

Let S be the area of the cylindrical container is

            S= 10 cm2

Let h is the height of the cylindrical container

The mean of the height of the cylindrical container is E(h)=5

The Standard deviation of the cylindrical container is =0.1

The volume of the  cylindrical container is V=s


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