A fuel truck, has a cylindrical tank of radius R= 2 m and length L= 10 m lying horizontally. The volume of gasoline in the tank is given by L (R² cos¹ (R=h) - (R-h)√/2Rh - h²) where h is the vertical height of the gasoline in the tank. If gasoline is being pumped into the tank at a rate of 2 m³/min, how fast is the gasoline level rising when the height h of the gasoline is 1 m?
A fuel truck, has a cylindrical tank of radius R= 2 m and length L= 10 m lying horizontally. The volume of gasoline in the tank is given by L (R² cos¹ (R=h) - (R-h)√/2Rh - h²) where h is the vertical height of the gasoline in the tank. If gasoline is being pumped into the tank at a rate of 2 m³/min, how fast is the gasoline level rising when the height h of the gasoline is 1 m?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:6. A fuel truck, has a cylindrical tank of radius R = 2 m and length L 10 m lying horizontally.
The volume of gasoline in the tank is given by
L (R² cos¹ (RRH) - - (R-h)√2Rh-h²
(R-
where h is the vertical height of the gasoline in the tank. If gasoline is being pumped into
the tank at a rate of 2 m³/min, how fast is the gasoline level rising when the height h of the
gasoline is 1 m?
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