Revolution of a curve along a axis

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Homework Help Overview

The problem involves the equation z = y³ and its revolution around the y-axis, with a request for the resulting surface equation and a graph.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss starting with the concept of a circle based on the given equation and its relation to the y-axis. There are requests for step-by-step guidance and clarification on how to approach the problem.

Discussion Status

Some participants are willing to provide guidance but emphasize the need for the original poster to make an attempt first. There is an ongoing exploration of how to derive the equation of the surface from the given function.

Contextual Notes

The original poster expresses uncertainty about how to begin the problem and has not found helpful resources online. There is an implication of homework constraints regarding the level of assistance expected.

kazthehack
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Homework Statement


given z =y3 revolved around the y-axis what is the equation of the surface and then graph.


Homework Equations





The Attempt at a Solution


I have no idea how to approach this, i tried searching around the net but nothing came out. pls help.
 
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start with the equation of a circle of radius z = y^3, with centre on the y-axis & in a plane perpindicular to the y axis
 
^ what i need is a step by step solution and i learn to solve other problems if i see how it is done.
 
sorry, you have to try - I'm happy to walk you through it if you attempt, but I'm not just going to do it all for you
 
kazthehack said:
given z =y3 revolved around the y-axis what is the equation of the surface and then graph.
…
I have no idea how to approach this, i tried searching around the net but nothing came out. pls help.

Hi kazthehack! :wink:

Start with a single point z =y03 (for a fixed value y0) revolved around the y-axis …

what is the equation of that? :smile:
 

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