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62. Volume The head of your firm's accounting department has asked you to find a formula she can use in a computer program to calculate the year-end inventory of gasoline in the company's tanks. A typical tank is shaped like a right circular cylinder of ra- dius r and length L, mounted horizontally, as shown in the accom- panying figure. The data come to the accounting office as depth measurements taken with a vertical measuring stick marked in centimeters. a. Show, in the notation of the figure, that the volume of gaso- line that fills the tank to a depth d is c-rtd :/ VF - y² dy. V = 2L -r b. Evaluate the integral. - Measuring stick d = Depth of gasoline

62. Volume The head of your firm's accounting department has asked you to find a formula she can use in a computer program to calculate the year-end inventory of gasoline in the company's tanks. A typical tank is shaped like a right circular cylinder of ra- dius r and length L, mounted horizontally, as shown in the accom- panying figure. The data come to the accounting office as depth measurements taken with a vertical measuring stick marked in centimeters. a. Show, in the notation of the figure, that the volume of gaso- line that fills the tank to a depth d is c-rtd :/ VF - y² dy. V = 2L -r b. Evaluate the integral. - Measuring stick d = Depth of gasoline

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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62. Volume The head of your firm's accounting department has asked you to find a formula she can use in a computer program to calculate the year-end inventory of gasoline in the company's tanks. A typical tank is shaped like a right circular cylinder of ra- dius r and length L, mounted horizontally, as shown in the accom- panying figure. The data come to the accounting office as depth measurements taken with a vertical measuring stick marked in centimeters. a. Show, in the notation of the figure, that the volume of gaso- line that fills the tank to a depth d is c-rtd :/ VF - y² dy. V = 2L -r b. Evaluate the integral. - Measuring stick d = Depth of gasoline
Transcribed Image Text:62. Volume The head of your firm's accounting department has asked you to find a formula she can use in a computer program to calculate the year-end inventory of gasoline in the company's tanks. A typical tank is shaped like a right circular cylinder of ra- dius r and length L, mounted horizontally, as shown in the accom- panying figure. The data come to the accounting office as depth measurements taken with a vertical measuring stick marked in centimeters. a. Show, in the notation of the figure, that the volume of gaso- line that fills the tank to a depth d is c-rtd :/ VF - y² dy. V = 2L -r b. Evaluate the integral. - Measuring stick d = Depth of gasoline
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