Sunday

February 1, 2015

February 1, 2015

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

x=y^2/3

- Calculus -
**Steve**, Friday, April 12, 2013 at 11:13amv = ∫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 3:23pmIt is y^(2/3) - we have not gone over shell method yet so.....

- Calculus -
**Steve**, Friday, April 12, 2013 at 4:00pmso, 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 6:25pmThe limits are 0,3

**Answer this Question**

**Related Questions**

Calculus - Volume By Integration - Find the volume of the solid generated by ...

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 ...

Calculus - Find the volume of the solid by rotating the region bounded by the ...