Friday

November 28, 2014

November 28, 2014

Posted by **Liz** on Sunday, May 27, 2012 at 4:22pm.

y= sqrt(x), y=x^2, in the first Quadrant

- Calculus -
**Steve**, Sunday, May 27, 2012 at 4:32pmThe curves intersect at (0,0) and (1,1).

Using shells,

v = ∫2πrh dx [0,1]

where r = x and h=√x-x^2

v = 2π∫x(√x-x^2) dx [0,1]

= 3π/10

Using discs,

v = ∫π(R^2-r^2) dy [0,1]

where R=√y and r=y^2

v = π∫(y-y^4) dy [0,1]

= 3π/10

**Answer this Question**

**Related Questions**

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

CALCULUS - The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(...

CALCULUS HELP PLZ - The region R is bounded by the x-axis, y-axis, x = 3 and y...

Calculus - Determine the volume of the solid abtained when the region bounded by...

Calculus (Solid of Revolution) - The region R is bounded by the x-axis, x = 1, x...

Calculus - We're learning disks, shells, and cylinders in school but we have a ...

Calculus - We're learning disks, shells, and cylinders in school but we have a ...

Volume of a solid - calculus - Find the volume of the solid generated by ...

calculus - Find the volume of the solid generated by revolving the region about ...

Calculus - *Note I reposted this question as I changed the subject** The Region...