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2) Suppose that a barrel with maximum radius R and height h can be constructed by rotating a parabola about the x-axis. The parabola is defined as: h h y =R-cr', -sxs 2 where c is a positive constant. (a) Sketch the curve and show that the radius of each end of the barrel is r = R-d where d = ch? (b) Show that the volume of the barrel is V =-nh 2R +r?

2) Suppose that a barrel with maximum radius R and height h can be constructed by rotating a parabola about the x-axis. The parabola is defined as: h h y =R-cr', -sxs 2 where c is a positive constant. (a) Sketch the curve and show that the radius of each end of the barrel is r = R-d where d = ch? (b) Show that the volume of the barrel is V =-nh 2R +r?

Elements Of Electromagnetics
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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2) Suppose that a barrel with maximum radius R and height h can be constructed by rotating a parabola about the x-axis. The parabola is defined as: h y = R-cx', -s: 2 where c is a positive constant. (a) Sketch the curve and show that the radius of each end of the barrel is r = R– d ch2 where d = (b) Show that the volume of the barrel is 1 V =÷th| 2R² +r?
Transcribed Image Text:2) Suppose that a barrel with maximum radius R and height h can be constructed by rotating a parabola about the x-axis. The parabola is defined as: h y = R-cx', -s: 2 where c is a positive constant. (a) Sketch the curve and show that the radius of each end of the barrel is r = R– d ch2 where d = (b) Show that the volume of the barrel is 1 V =÷th| 2R² +r?
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