7. Use the method of cylindrical shells to find the volume of the solid that
results when the region bounded by $y = x^2$, $y = 4$, and $x = 0$ is revolved
around the x-axis.
8. Use the method of cylindrical shells to find the volume of the solid that
results when the region bounded by $y = 2\sqrt{x}$, $x = 4$, and $y = 0$ is
revolved around the y-axis.
9. Find the volume of the solid whose base is the region between the semi-
circle $y = \sqrt{16 - x^2}$ and the x-axis, and whose cross-sections
perpendicular to the x-axis are squares with a side on the base.
10. Find the volume of the solid whose base is the region between $y = x^2$ and
y = 4 and whose perpendicular cross-sections are isosceles right
triangles with the hypotenuse on the base.