Finding the Volume of a Rotation About the x and y Axis

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The discussion focuses on calculating the volume of a solid formed by rotating the curve 2y^2=x^3 around both the y-axis and the x-axis. The initial poster has successfully completed the first part of the problem but seeks assistance with the volume calculation for rotation about the x-axis and for a 180-degree rotation. It is noted that rotating about the x-axis can be approached by swapping x and y in the equation, and that a half rotation yields half the volume of a full rotation. The poster expresses frustration with incorrect results when attempting to manipulate the equation. The conversation highlights the importance of clear problem statements in attracting helpful responses.
Habosh
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hi
this is my first post,and I hope i get the help I need;)
equation of curve 2y^2=x^3 find the volume of the solid formed by the complete rotation about the y-axis of the region bounded by the curve the y azis and the line with the equation y=2 which lies in the first quadrant,*done this*
npw i need help in second part of the question
find also the volume formed when the region is rotated completely about the x axis
I also have a question would anyone help me and explain what shall we do if the rotation was not 360 about the x axis,but was 180
thanx in advance:D
 
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Rotating about the x-axis is mathematically equivalent to swapping x and y in the relation given then rotating about the y-axis so that whatever method you used in the first problem should work for the second problem.

Also, rotating halfway will give you half the volume of a full rotation.
 
well that is what driving me crazy,because in the second one I tried to make the equation with the y as a subject then squared it and substituted with 2 but it didn't work the answer was wrong:(
 
suggestion: curiosity is more powerful an attraction than academic pity. try stating the problem next time in the title. your current title has been used a lot before, and to me personally is often reason enough to ignore the post.
 
hehe:Dok then i will next time i'll post a thread with the title I have a phsycic powers is a math fourm:p that will surely attract some attention
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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