Final answer:
To find the volume of the solid obtained by rotating a region around an axis, use the method of cylindrical shells and evaluate the integral 2π∫(x)(f(x))dx.
Step-by-step explanation:
To find the volume of the solid obtained by rotating a region around an axis, you can use the method of cylindrical shells. The volume of the solid is equal to the integral of the product of the circumference of the shell and the height of the shell, summed over the entire region. This can be represented by the formula V = 2π∫(x)(f(x))dx, where x represents the variable of integration and f(x) represents the function that defines the region. You can evaluate this integral to find the volume.