Integration- Volumes (1 Viewer)

[Getteral09]

hey, apparently i'm having trouble on this question:

"The area bounded by the curves y=x^2, y=(x+2)^2 and the x-axis is rotated about the x-axis. Find the volume of the solid of revolution formed."

Can anyone help me with this question?






Thanks heaps!

 

[bos1234]

i forgot the forumla.. but draw the 2 graphs..

a) one x-intercept is 0 (y = x^2)
and another intercept is -2 (x^2 + 4x + 4 )

b) find where both parabolas intersect by using simultaneous equation

... x^2= x^2 + 4x + 4

then integrate with intersection and -2 + 0 and intersection


i THINK this is how its done// plz modify if there is a quicker way

 

[jyu]

hey, apparently i'm having trouble on this question:

"The area bounded by the curves y=x^2, y=(x+2)^2 and the x-axis is rotated about the x-axis. Find the volume of the solid of revolution formed."

Can anyone help me with this question?






Thanks heaps!

:wave:

 

[bos1234]

ahh kk. so instead of adding just times by 2

thanks cya

nice worked soln. by the way

 

[Getteral09]

Thanks guys but i already worked it out.