Math (Calculus)
posted by Sherman .
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the yaxis. (Use Disc Method)
y=3(2x), y=0, x=0

yintercept is 6
y = 63x
3x = y + 6
x = y/3 + 2
x^2= y^2/9  4y/3 + 4
vol = π[integral] y^2/9  4y/3 + 4 dy from 0 to 6
= π[ y^3/27  2y^2/3 + 4y] from 0 to 6
= π( 8  24 + 24  (0) )
= 8π
better check my arithmetic
Respond to this Question
Similar Questions

Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :) 
Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :) 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the yaxis 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the xaxis,the yaxis,and the line x = 4 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4 
calculus
find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the xaxis. 
Calculus Voulme
find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the yaxis. x^2+y^2=1 x=1 y=1 
Math (Calculus)
Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the xaxis b)the line x=4 
Calculus
I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 … 
Calculus 2
Find the volume of the solid generated by revolving the region bounded by the graphs of the quations about the xaxis. Y=x^2+4 Y=x^2+2x+8 X=0 X=3