Mark J. answered • 06/13/19

Semi-Retired Mechanical Engineer & Mathematician

I am a bit perplexed! The area in question is the area bounded by y = 3 and the graph y = 1 + sqrt(x).

So it is the area from y= 1 + sqrt(x) on the bottom and y=3 on the top. Then this bounded area is to be revolved around the x axis to form a volume.

The bounded area is 2.6666, the y center of area (ybar) value is 2.5.

Then the volume generated by revolving this area around the x axis is given by the Pappus Formula

V = 2*pi*ybar*area = 2*pi*(2.5)*(2.6666) = 41.89 (Please Comment why this answer is incorrect!)