A spherical water tank with an inner radius of 11 meters has its lowest point 3 meters above the ground. Water is pumped from ground level through an inflow pipe that meets the tank at its lowest point (see figure). Neglecting the volume of the inflow pipe, how much work is required to fill the tank if it is initially empty? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. C TO dy (Type exact answers, using as needed.) 11 m inflow pipe 3 m Set up the integral that gives the work (in joules) required to fill the tank. Use a vertical axis whose origin corresponds with the center of the sphere and use increasing limits of integration.
A spherical water tank with an inner radius of 11 meters has its lowest point 3 meters above the ground. Water is pumped from ground level through an inflow pipe that meets the tank at its lowest point (see figure). Neglecting the volume of the inflow pipe, how much work is required to fill the tank if it is initially empty? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. C TO dy (Type exact answers, using as needed.) 11 m inflow pipe 3 m Set up the integral that gives the work (in joules) required to fill the tank. Use a vertical axis whose origin corresponds with the center of the sphere and use increasing limits of integration.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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