Revolution of a curve along a axis

[kazthehack]

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.

 

[lanedance]

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

 

[kazthehack]

^ what i need is a step by step solution and i learn to solve other problems if i see how it is done.

 

[lanedance]

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

 

[tiny-tim]

given z =y³ revolved around the y-axis what is the equation of the surface and then graph.
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I have no idea how to approach this, i tried searching around the net but nothing came out. pls help.

Hi kazthehack!

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

what is the equation of that?