Sunday

February 1, 2015

February 1, 2015

Posted by **Liz** on Wednesday, January 30, 2013 at 7:19pm.

- Calculus -
**Reiny**, Wednesday, January 30, 2013 at 8:11pmthe 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

**Answer this Question**

**Related Questions**

Calculus - Use the disk method to find the volume of the solid formed by ...

calculus - Use the disk method to find the volume of the solid formed by ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...

Calculus - a) Find the volume formed by rotating the region enclosed by x = 6y ...

calculus edit - 1. Find the volume formed by rotating the region enclosed by x=...

Calculus - 1. Find the volume formed by rotating the region enclosed by x=5y and...

calculus - Use the shell method to find the volume of the solid formed by ...

calculus - Use the shell method to find the volume of the solid formed by ...

calculus - Set up the integral that would be used to find the volume of the ...

Calculus - Consider the region bounded by the curves y=e^x, y=-e^x, and x=1. Use...