Posted by Liz on Wednesday, January 30, 2013 at 7:19pm.
the intersect at (0,0) and (2,4)
since we are rotating around the y axis we need the radius squared, that is, we need the x^2 of each equation
from the 1st : y = 2x --> x = y/2 , then x^2 = y^2/4
from the 2nd: y = x^2 ---> then x^2 = y , the outer
so volume
= π∫(y - y^2/4) dy from y = 0 to 4
= π[y^2/2 - y^3/12] from 0 to 4
= π(16/2 - 64/12 - 0)
= 8π/3
check my arithmetic
Related Questions
Calculus - a) Find the volume formed by rotating the region enclosed by x = 6y ...
Calculus - This problem set is ridiculously hard. I know how to find the volume ...
Calculus - 1. Use cylindrical shells to compute the volume of the solid formed ...
calculus - Consider the solid obtained by rotating the region bounded by the ...
Calculus - Consider the region bounded by the curves y=e^x, y=-e^x, and x=1. Use...
Can no one help?! - 1. Use cylindrical shells to compute the volume of the solid...
Calculus - Use the disk method to find the volume of the solid generated when ...
Calculus - Use the method of cylindrical shells to find the volume V generated ...
Calculus - Find the volume of the solid by rotating the region bounded by the ...
calculus edit - 1. Find the volume formed by rotating the region enclosed by x=...
For Further Reading
