E-VO04 · An unbounded solid with finite volume
For \(b>1\), the region below \(\displaystyle y=\frac2x\), above the x-axis and between \(x=1\) and \(x=b\), is rotated about the x-axis.
Find its volume V(b).
Find the limiting volume as b tends to infinity.
Find b so that the part of the limiting volume beyond b is exactly \(\displaystyle \frac\pi5\).
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form