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

question 70

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".

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Definitions:

Social Responsibility Strategy

A company's approach to managing its business processes to produce an overall positive impact on society.

Leadership Role

The position or responsibility of guiding and influencing individuals or groups towards achieving a common goal.

Social Issues

Problems that influence a considerable number of individuals within a society, reflecting group conflicts and challenges.

Obstructionist Strategy

Avoids social responsibility and reflects mainly economic priorities.