Posted by **Macy** on Thursday, December 1, 2011 at 11:53am.

Let R be the square region bounded by y = 2, x = 2, and the

x and y-axes. When R is rotated about the x-axis, what is the volume of the

resulting solid? What is the volume of the solid generated by rotating R about

the y-axis?

- Calculus -
**Steve**, Thursday, December 1, 2011 at 12:49pm
first, since it's a square, it does not matter which side is used as the rotational axis.

geometrically, we have a cylinder of height=2, radius=2

v = pi * 2^2 * 2 = 8pi

Analytically,

v = Integral(pi y^2 dx)[0,2]

= Integral(4pi dx)[0,2]

= 4pi x[0,2]

= 8pi

## Answer This Question

## Related Questions

- Calculus - Let R be the region bounded by the x-axis, x = 5 and the curve y = x...
- Calc - The region bounded by y=2.5x^2 and y=4x is to be rotated about both axes ...
- Math - The region bounded by the given curves is rotated about the specified ...
- 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 ...
- Math - The region bounded by the given curves is rotated about the specified ...
- please help calculus - find the volume of the solid formed by revolving the ...
- Calculus - The region in the first quadrant bounded by the x-axis, the line x = ...
- math - Let S be a region bounded by the curve y=x+cosx and the line y=x as shown...
- Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

More Related Questions