In a Recent Archaeological Expedition, a Scroll Was Discovered Containing $y=-100 \ln \left(\frac{x}{6}\right)$

Essay

In a recent archaeological expedition, a scroll was discovered containing a description of a plan to build what appears to be the Tower of Babel.According to the manuscript, the tower was supposed to have a circular cross section and "go up to the heavens" (i.e., be infinitely high).A mathematician was consulted to solve some of the questions posed by the archaeologists.The mathematicians plotted half of the silhouette of the tower on a set of coordinate axes with the y-axis running through the center and discovered that it was approximated by the curve $y=-100 \ln \left(\frac{x}{6}\right)$ .Would such a tower have finite volume? If so, calculate it to the nearest whole number.If not, enter "infinite".