This is the area to be rotated around the x-axis:

Hence, the volume generated can be found using the formula for volume of solid of revolution:

"Vol" = pi int_a^b y^2 dx

=pi int_0^2 (x)^2 dx

= pi[(x^3)/(3)]_0^2

=pi[(8)/(3)]-pi[0]

=8/3 pi\ text[units]^3

~~8.378\ text[units]^3