and then
find the volume of the solid formed when the line x+3y-1=0 is rotated about the x-axis from x=0 to x=8.
please show working. the first person to answer correctly gets the 10 points
good luck
2007-05-02 00:58:14 · 4 answers · asked by loza 2 in Science & Mathematics ➔ Mathematics
somehow the answer to the first q is 13 pie??? i have been trying to work it out all arvo.
2007-05-02 01:32:26 · update #1
Okay, ill do first.
First, Ill find inverse of function.
x=-3y+1, so inverse is y=-3x+1.
So, integrate pi (-3x+1)^2 from x=1 to x=2.
So, integrate pi (9x^2-6x+1) or pi(9x^3/3-6x^2/2+x) for x=1 to x=2.
So, pi*((9*2^3/3-6*2^2/2+2)-
(9*1^3/3-6*1^2/2+1)) = pi*(14-1) = 13pi.
2007-05-02 01:42:14 · answer #1 · answered by yljacktt 5 · 1⤊ 0⤋
I think what they want is the volume of a cylindrical shell, with angled top.
2007-05-02 08:19:47 · answer #2 · answered by A Guy 7 · 1⤊ 0⤋
â¼ yes, Rick! After getting a good answer she just deletes her question with your answer! Smart girl, isn’t she?
2007-05-02 08:17:53 · answer #3 · answered by Anonymous · 1⤊ 0⤋
Always gotta love these fun questions!
2007-05-02 08:00:20 · answer #4 · answered by Anonymous · 0⤊ 2⤋