Volume of revolution

Find the volume of the solid that results when the region enclosed by the equation  $y=\sqrt{x+2}$  between x = 2 and x = 6 is revolved around the x-axis. Use pi for  $\pi$  or round to 3 significant digits.

Find the volume of the solid that results when the region enclosed by the equation  $y=-x^2+1$  is revolved around the x-axis. Use pi for  $\pi$  or round to 3 significant digits.

Find the volume of the solid that results when the region enclosed by the equation  $y=x^2+1$  is revolved around the x-axis between  $x=-1$  and  $x=2$ . Use pi for  $\pi$  or round to 3 significant digits.

Find the volume of the solid that results when the region enclosed by the equation  $y=\frac{1}{x}$  is revolved around the x-axis between  $x=\frac{1}{4}$  and  $x=2$ . Use pi for  $\pi$  or round to 3 significant digits.

Find the volume of the solid that results when the region enclosed by the equation  $y=x^2+2$  is revolved around the x-axis between  $x=1$  and  $x=2$ . Use pi for  $\pi$  or round to 3 significant digits.

Find the volume of the solid that results when the region enclosed by the equation  $y=^3\sqrt{x}$  is revolved around the x-axis between  $x=0$  and  $x=1$ . Use pi for  $\pi$  or round to 3 significant digits.