calculus
posted by karlei .
Find the volume of the solid formed by revolving the region bounded by the graphs of y=3(x^2) and y=2 about the line y=2

calculus 
Reiny
Hint:
Why don't you translate the whole configuration down 2 units?
Then you would "find the volume of the solid formed by revolving the regions bounded by the graphs of y = 1  x^2 and the y=2 (the xaxis) about the xaxis"
Hint #2
By the "Justlookatit Theorem" the xintercepts are ±1 and there is symmetry, so you could just take it from 0 to 1 and double that.
Respond to this Question
Similar Questions

Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of … 
Calculus
Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the xaxis. (Washer Volume) 
Calculus
"Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the indicated lines: y = 2x^2 y = 0 x = 2 About the line y = 8" 
Calculus
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and … 
Can no one help?!
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and … 
calculus 2
find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4xx^2 and y=2 about the line y=2. 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = 6 − x y = 0 y = 5 x = 0 
Calculus
Find the volume or the solid generated by revolving around the region bounded by the graphs of the equations about line x=6. xy=6, y=2, y=6, and x=6 
Calculus I
Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2? 
Calculus
find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the yaxis