Q13. A tank is shaped like a circular cone, with its apex pointing down (like an ice cream cone). Its height is 7m, the radius of its top circular face is 4m, and it is filled with water to a height of 5 m. The goal of this question is to determine the total work required to pump all of its water to a height 1m above the top of the tank. Recall: the density of water is p = 1000 kg/m³ and the acceleration due to gravity on Earth's surface is g= 9.8 m/s². Let x be the height (in m) measured from the bottom of the tank (the tip of the cone). (a) Find an expression for the approximate volume V(x) of a thin layer of water between heights r and x + Ax m. To earn full marks: • You must draw and clearly label a diagram. You must show all your work and briefly explain your answer. (b) . in part (a)) to a height 1 m above the top of the tank? Briefly justify your answer. * What is the approximate work W (x) required to pump the thin layer of water (described (c) .· in the tank to a height of 1 m above its top. Do not evaluate the integral - just write it down. Give a definite integral that computes the total work required to pump all of the water

Q13. A tank is shaped like a circular cone, with its apex pointing down (like an ice cream cone). Its height is 7m, the radius of its top circular face is 4m, and it is filled with water to a height of 5 m. The goal of this question is to determine the total work required to pump all of its water to a height 1m above the top of the tank. Recall: the density of water is p = 1000 kg/m³ and the acceleration due to gravity on Earth's surface is g= 9.8 m/s². Let x be the height (in m) measured from the bottom of the tank (the tip of the cone). (a) Find an expression for the approximate volume V(x) of a thin layer of water between heights r and x + Ax m. To earn full marks: • You must draw and clearly label a diagram. You must show all your work and briefly explain your answer. (b) . in part (a)) to a height 1 m above the top of the tank? Briefly justify your answer. * What is the approximate work W (x) required to pump the thin layer of water (described (c) .· in the tank to a height of 1 m above its top. Do not evaluate the integral - just write it down. Give a definite integral that computes the total work required to pump all of the water

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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