4. Find the volume of the solid generated by revolving the first quadrant area of the curves xy=2, 4y=x², and 3y=2x+4 about y=0.
4. Find the volume of the solid generated by revolving the first quadrant area of the curves xy=2, 4y=x², and 3y=2x+4 about y=0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4. Find the volume of the solid generated by revolving the first quadrant area of the
curves xy=2, 4y=x², and 3y=2x+4 about y=0.
5. Find the volume of the solid generated by revolving about the x-axis the smaller area
bounded by the equation x2+y?=2 and the semi-cubical parabola y3=x?.
6. Show that when a hole of radius a is bored through the center of the sphere of radius
b, the volume of the sphere that is left is V= (4m/3)(b² - a²)(3/2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ea7cb0d-3f4f-4947-b4a2-6d9ba85501c8%2F2a36f66e-4005-4348-a683-8354cd35b215%2Fapocub8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Find the volume of the solid generated by revolving the first quadrant area of the
curves xy=2, 4y=x², and 3y=2x+4 about y=0.
5. Find the volume of the solid generated by revolving about the x-axis the smaller area
bounded by the equation x2+y?=2 and the semi-cubical parabola y3=x?.
6. Show that when a hole of radius a is bored through the center of the sphere of radius
b, the volume of the sphere that is left is V= (4m/3)(b² - a²)(3/2)
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