Please help !! complete question below:
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. x=4y^2 - y^3 , x = 0

Question

Please help !! complete question below:
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.      x=4y^2 - y^3 ,       x = 0

marco26 · Answer

Here's the graph

anonymous · Answer

Thanks Marco26 for the graph, can you help me solve it completely.

marco26 · Answer

Wait, i'll solve it

marco26 · Answer

Here's my solution, you may check it as well as it may contain errors, :)

To use shell method, the strip that we must use must be parallel to the axis of revolution. In this problem, it is the horizontal strip.

marco26 · Answer

The formula for the volume (horizontal strip) for the shell method is:$$V=2pi \int\limits_{y1}^{y2}y_{c} (x_{R}-x_{L})dy$$

where yc is the distance of the element from the axis of revolution

marco26 · Answer

@guru07 Got any problem so far?

anonymous · Answer

I am still trying to figure out your eqn

anonymous · Answer

Can you write the equation as per the given information in the question. I see new notation in your so having difficulties understanding I guess

marco26 · Answer

ok, let me know when you're ready :)

marco26 · Answer

It's just a formula,,well, we may have diffirent representations of variable, though. What's the formula in yours, may I know?   |dw:1336541592121:dw|