Calculus 2 question

Question

In a recent archaeological expedition, a scroll was discovered containing a description of a plan to build what appeared to be the tower babel. According to the manuscript, the tower was supposed to have a circular cross-section and "go up to the heavens" (infinitely high). A mathematician was consulted to answer some of the questions posed by the archeologists. The mathematician plotted half of the silhouette of the tower on a set of coordinate axes with the y-axis passing through the center, and discovered that is was approximated by the curve y = (-100l)n(/5).

a.) calculate the volume of the tower

b.) at that time, babel's unit of length was called a shrim. The manuscript mentions that 4200 cubic shrim of stone were available to build the tower. Based on your answer above, was there enough material on hand to complete the tower?

Answer 1