Concept explainers
The time to fill the tank.
Answer to Problem 24E
The time to fill the tank is
Explanation of Solution
Given information :
Diameter of pipe
Diameter of the base of tank
Height of the tank
The base of the tank is
Depth of the well is
Formula used :
Calculation :
Call
Here, the force required to fill the tank is in lb unit. To calculate this, multiply the water’s density by the volume of the pipe that is not filled with water. The volume of a cylinder is
Then the force required to fill the tank is
To calculate the work, integrate
Call
Here, the force required to fill the tank is in lb unit. To calculate this, multiply the water’s density by the volume of the tank that is not filled with water. The volume of a cylinder is
Then the force required to fill the tank is
To calculate work, integrate
Here, the force required to fill the tank is in lb unit. To calculate this, multiply the water’s density by the volume of the tank that is not filled with water. The volume of a cylinder is
Then the force required to fill the tank is :
To calculate work, integrate
Add the works together
To calculate the time to fill the tank, divide the work by the and convert the time to hour:
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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