### Work Done in Pumping Liquid from a Hemispherical TankA hemispherical tank with a radius of 1 meter is filled with Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross-section of the tank:![Graph of Hemispherical Tank]The cross-section of the tank shows a semicircle with a radius of 1 meter. The semicircle extends from \( x = -1 \) to \( x = 1 \) on the horizontal axis and from \( y = 0 \) to \( y = 1 \) on the vertical axis, where \( y \) represents the height from the bottom of the tank.The diagram includes:- A vertical axis pointing upwards, labeled with the height \(1\).- A horizontal axis with endpoints labeled \(-1\) and \(1\).### Problem StatementCalculate the amount of work needed to pump all of the Diet Double Dew to a height 2 meters above the tank.To solve this problem:1. Determine the volume element \( dV \) in the tank.2. Find the distance each volume element needs to be lifted.3. Integrate the work required for each volume element over the entire volume of the tank.Given:- Radius \( r = 1 \, \text{meter} \)- Weight density \( \rho = 99 \, \text{grams per cubic meter} \)Total work done (W) is calculated using the principles of calculus and physics for fluid dynamics.

Given: The radius of the tank, r=1 m The density of the liquid, The height to which the water is…

A hemispherical tank with a radius of 1 meter is filled will Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross section of the tank: 1 How much work is done in pumping all of the Dict Double Dew to 2 meters above the tank?

A hemispherical tank with a radius of 1 meter is filled will Diet Double Dew, which has a weight of 99 grams per cubic meter. Here is a cross section of the tank: 1 How much work is done in pumping all of the Dict Double Dew to 2 meters above the tank?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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