Applications of Integration

What determines the thickness of each disc when using the disk method to compute volumes?

What is the volume of the solid obtained by rotating the region bounded by the curve $y = \sqrt{x}$, the line $y = 1$, and the lines $x = 1$ and $x = 4$ around the line $y = 1$?

By applying the disc method, how would one find the volume of a solid obtained by rotating around the y-axis region under curve $y=x^3$ from $x=0$ to $x=2$?

What is the volume of the solid of revolution obtained by rotating the region bounded by the x-axis and the graph of $f(x) = x^2$ around the vertical line $x = 3$?

When using the disc method to find volume, what shape are the cross-sections perpendicular to the axis of rotation?

What does the disc method involve when calculating the volume of a solid of revolution?

Which formula represents the volume V for a solid formed by rotating a function f(x) about the x-axis using discs from x = a to x = b?

Which limits of integration should be used when finding the volume of a solid of revolution?

What is the volume of the solid formed by rotating the region bounded by the curve $y = \frac{1}{x}$, the line $y = 0$, and the lines $x = 1$ and $x = 2$ around the y-axis?

What is an expression representing the volume when rotating about the line $y=-1$ area bounded by $y=x+1$ and $y=-x+1$ within interval [-1, -½]?