13. a) Find the work done if the tank shown below is full of water and all of the water must be pumped out of the spout. I m 3m b) Find the work done if the tank shown below is half full of oil that has density 900 kg/m² that must be pumped out of the spout
13. a) Find the work done if the tank shown below is full of water and all of the water must be pumped out of the spout. I m 3m b) Find the work done if the tank shown below is half full of oil that has density 900 kg/m² that must be pumped out of the spout
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:**Options:**
a) \( 1,411,200\pi \, \text{J} \)
b) \( 2,556,141.15 \, \text{J} \)
*Note: \( \pi \) represents the mathematical constant Pi, approximately equal to 3.14159, often used in calculations involving circles or periodic functions.*

Transcribed Image Text:**Problem 13**
a) Calculate the work done when the tank, as illustrated below, is completely filled with water and all the water must be pumped out through the spout.
**Description of the Diagram:**
A diagram of a spherical tank is shown. The radius of the tank is 3 meters. There is a spout at the top which is 1 meter above the tank.
b) Calculate the work done when the same tank is half full of oil. The oil has a density of \(900 \, \text{kg/m}^3\) and must be pumped out through the spout.
**Notes:**
For both parts, consider using the formula for work done in pumping liquids, which involves calculating the force necessary to move the fluid a certain distance.
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