Consider the region R bounded by the graphs of y = (x) > 0, x = a

Consider the region R bounded by the graphs of y = ƒ(x) > 0, x = a > 0, x = b > a, and y = 0 (see accompanying figure). If the volume of the solid formed by revolving R about the x-axis is 4π, and the volume of the solid formed by revolving R about the line y = -1 is 8π, find the area of R.

Transcribed Image Text:

0 a y = f(x) R b X