The discussion revolves around finding the volume of a solid formed by rotating the area bounded by the curves \(y = x^{1/3}\) and \(x = 4y\) about the x-axis. Participants are exploring the application of the washer method in this context.
The conversation is ongoing, with participants questioning the original poster's approach and suggesting that there may be an oversight regarding the quadrants involved in the problem. Guidance has been offered to clarify the integration process and the assumptions made about the region being rotated.
There is a mention of potential confusion regarding the intersection points and whether the volume calculation should account for the entire region or just a specific quadrant. The original poster's answer appears to be influenced by this ambiguity.
What does your integral look like?dan38 said:Homework Statement
Question is:
FInd the volume for area bound between
y = x ^ (1/3)
x = 4y
About the x -axis
I found the volumes from 0 to 8 using the washer method and then multiplied that by 2 since they intersect at y = 0, -2 and 2 x = 0, 8 and -8
Is that wrong?
Cause my answer was double what it should have been..