   Chapter 8.4, Problem 58E

Chapter
Section
Textbook Problem

# Volume The axis of a storage tank in the form of a right circular cylinder is horizontal (see figure). The radius and the length of the tank are 1 meter and 3 meters respectively. Determine the volume of fluid in the tank as a function of its depth d.Use a graphing utility to graph the function in part (a).Design a dip stick for the tank with markings of 1 4 , 1 2 , and 3 4 .Fluid is entering the tank at a rate of 1 4 cubic meter per minute. Determine the rate of change of the depth of the fluid as a function of its depth d.Use a graphing utility to graph the function in part (d). When will the rate of change of the depth be minimum? Does this agree with your intuition? Explain.

To determine

To calculate: The volume of the given storage tank.

Explanation

Given: The storage tank

Refer to the question for figure.

Calculation:

V=3.20d1(y1)2.dy=3[arcsin(d1)+(d1

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