Posted by **Tiffany** on Friday, April 12, 2013 at 10:39am.

Find the volume using the shell method - about the x-axis

x=y^2/3

- Calculus -
**Steve**, Friday, April 12, 2013 at 11:13am
v = ∫2πrh dy

where r=y and h=x

v = 2π∫xy dy

Can't tell whether you mean (y^2)/3 or y^(2/3)

anyway, plug it in and use the appropriate limits.

- Calculus -
**Tiffany**, Friday, April 12, 2013 at 3:23pm
It is y^(2/3) - we have not gone over shell method yet so.....

- Calculus -
**Steve**, Friday, April 12, 2013 at 4:00pm
so, you have

v = 2π∫(y^(2/3))y dy

= 2π∫y^(5/3) dy

= 2π (3/7) y^(7/3)

but you need to specify the limits of integration, since the curve is open-ended.

visit wolframalpha.com and enter

plot y^2 = x^3

- Calculus -
**Tiffany**, Saturday, April 13, 2013 at 6:25pm
The limits are 0,3

## Answer This Question

## Related Questions

- Calculus - Volume By Integration - Find the volume of the solid generated by ...
- calculus - the region bounded by the graph f(x)=x(2-x) and the x axis is ...
- please help calculus - find the volume of the solid formed by revolving the ...
- Calculus - Volume by Integration - Find the volume of the solid generated by ...
- Calculus AP - Volume of Revolution - Hi. I have a few calculus problems that I ...
- calculus - Use the disk or the shell method to find the volume of the solid ...
- calculus - use the method of cylindrical shells to find the volume of the solid ...
- calculus - Use the shell method to set up and evaluate the integral that gives ...
- Math (Calculus) - Use the shell method to set up and evaluate the integral that ...
- calculus - Use the shell method to set up and evaluate the integral that gives ...

More Related Questions