Suppose that f is a continuous function on [a,b], andlet R be the region between the

Chapter 6, Problem 35

(choose chapter or problem)

Suppose that \(f\) is a continuous function on \([a,b]\), and let \(R\) be the region between the curve \(y=f(x)\) and the line \(y=k\) from \(x=a\) to \(x=b\). Using the method of disks, derive with explanation a formula for the volume of a solid generated by revolving \(R\) about the line \(y=k\). State and explain additional assumptions, if any, that you need about \(f\) for your formula.

Equation Transcription:

Text Transcription:

f

[a,b]

R

y = f(x)

y = k

x = a

x = b