The region between $y=10x$ and $y=2x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=3x^2$ and $y=108$ is revolved about the line $y=111$, drawn in orange. Which integral gives the volume?

The shaded region, bounded by $y=x^2$, $y=36$ and the line $x=2$, for $x\ge 2$, is revolved about the $y$-axis. Which integral gives the volume for $4\le y\le 36$?

The region between $y=12x$ and $y=3x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=9-x^2$ and $y=0$ is revolved about the line $y=-4$, drawn in orange. What are the outer and inner radii?

The shaded region, bounded by $y=x^2$, $y=36$ and the line $x=1$, for $x\ge 1$, is revolved about the $y$-axis. Which integral gives the volume for $1\le y\le 36$?

The region between $y=x$ and $y=x^2$ is revolved about the $x$-axis. What is the volume?

The region between $y=3x$ and $y=3x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=75-3x^2$ and $y=0$ is revolved about the line $y=-1$. What are the outer and inner radii?

The shaded region, bounded by $y=x^2$, $y=9$ and the line $x=1$, for $x\ge 1$, is revolved about the $y$-axis. Which integral gives the volume for $1\le y\le 9$?

The shaded region between $y=2x^2$ and $y=32$ is revolved about the line $y=35$, drawn in orange. Which integral gives the volume?

The shaded region between $y=x^2$ and $y=36$ is revolved about the line $y=37$, drawn in orange. Which integral gives the volume?

The shaded region between $y=108-3x^2$ and $y=0$ is revolved about the line $y=-4$. What are the outer and inner radii?

The shaded region between $y=18-2x^2$ and $y=0$ is revolved about the line $y=-2$, drawn in orange. What are the outer and inner radii?

The shaded region between $y=2x^2$ and $y=72$ is revolved about the line $y=75$, drawn in orange. Which integral gives the volume?

The region between $y=6x$ and $y=3x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=2x^2$ and $y=18$ is revolved about the line $y=20$, drawn in orange. Which integral gives the volume?

The shaded region, bounded by $y=x^2$, $y=25$ and the line $x=3$, for $x\ge 3$, is revolved about the $y$-axis. Which integral gives the volume for $9\le y\le 25$?

The region between $y=5x$ and $y=x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=x^2$ and $y=1$ is revolved about the line $y=4$, drawn in orange. Which integral gives the volume?

The shaded region, bounded by $y=x^2$, $y=4$ and the line $x=1$, for $x\ge 1$, is revolved about the $y$-axis. Which integral gives the volume for $1\le y\le 4$?

The region between $y=9x$ and $y=3x^2$ is revolved about the $x$-axis. What is the volume?

The region between $y=4x$ and $y=x^2$ is revolved about the $x$-axis. What is the volume?

The shaded region between $y=75-3x^2$ and $y=0$ is revolved about the line $y=-2$. What are the outer and inner radii?