kindly solve this

[3] 5. Consider a function f defined on an interval [a, oo]. Suppose the unbounded region R shown in the diagram has infinite area. Must the solid obtained by revolving the region about the r-axis have infinite volume? If your answer is "yes" , give an argument explaining why. If your answer is "no" , give a counter-example. - f(x) Area = f(x) di = co R