integration volume (1 Viewer)

[ronaldinho]

A vase is formed by rotating the portion of the curve y^2 = x- 6 between y=6 and y= -6 about the y-axis. Find the volume of the vase.

pl[ease show working

 

[Affinity]

V = int(pi*x^2 dy, y=-6..6)
= int(pi*(y^2 - 6)^2 dy, y=-6..6)
= you can do this part

 

[airie]

V = int(pi*x^2 dy, y=-6..6)
= int(pi*(y^2 - 6)^2 dy, y=-6..6)
= you can do this part

Just a small mistake: x=y^2 + 6, not y^2 - 6

 

[Affinity]

oops.. I am old