Applications of Integration

Which region is being revolved around the x-axis in the washer method?

What is needed to set up an integral for calculating the volume of a solid formed by revolving the region between $f(x)=4-x^2$ and $g(x)=x+20$, from $-4$ to $4$, about the x-axis?

Which of the following integrals finds the volume obtained by rotating the area between $f(x) = \sqrt{x}$ and $g(x) = \frac{x}{3}$ around the line $y=-1$, from $x=0$ to $x=9$, using washers?

When calculating volume via washers rotating around horizontal line $f(y)=-5$, which differential element would you use if the initial shape lies over $f(y)=5-y$ between $y=0$ and $y=5$?

Which function describes an inner radius ($r(y)$) when finding volumes by washers for shapes revolving around a horizontal line other than an axis?

Consider a region defined by the functions $f(x) = x^2$ and $h(x) = 2x$, revolved around the x-axis from $x = 0$ to $x = 3$. What is the volume of the resulting solid?

What is the volume of the solid formed by revolving the region bounded by the functions $f(x) = x^2$ and $h(x) = x + 1$ around the x-axis from $x = 0$ to $x = 1$?

Which formula correctly finds the volume of solids formed by spinning a region enclosed between the graphs of the functions $m(x)=x+2$ and $n(x)=x^{-2}$ from $x=A$ to $x=B$ around the x-axis?

If a solid is generated by revolving the region bounded by the curves $y = x^2$ and $y = x$ around the y-axis, which integral represents the volume of this solid from $x=0$ to $x=1$ using the washer method?

What is the volume of the solid formed by revolving the region bounded by the functions $g(x) = \sqrt{x}$ and $h(x) = 2\sqrt{x}$ around the x-axis from $x = 1$ to $x = 4$?