St. Louis Science Center Planetarium Mathematics I.

Level B Inside A Glass 72-gon Outside A Sky Chamber

Solve the problem(s) stated below and attach any graph paper graphs or diagrams. Turn this in to your teacher for class interest. If you wish to email your work to the address below - please use your initials in place of your name. You will probably not get a return response other than a smile. For helpful suggestions link here. For resource equations or formulas related to the St. Louis Science Center Planetarium click here:

Problem: ( Print this page to work and turn in. )

a)     Level B exhibit area is inside 15.xxxxx foot high glass windows and a few doors put together on a 72-gon base of radius = "?" and outside a sky chamber cylinder of base radius = "?" with 9.875 foot height would have floor area = "?".

b)     With the same data but adjusted for wall thickness, what is the lateral wall surface area on the INSIDE of this squared off torus, ring or odd washer shape?

c)     With the same data but adjusted for wall thickness, what is the lateral wall surface area on the OUTSIDE of this squared off torus, ring or odd washer shape?

d)     As indicated in another Web page, the inner sky chamber wall has open and closed areas. Maybe it is time to measure how much or what percent of the cylinder wall is there for exhibits.

e)     More lateral surface area can be made using additional walls inside the level B exhibit region as exemplified in our brain structure. How did the SLSCP staff add to this exhibit area?

f)     The information about level B exhibit region and level E's floor region which covers part but not all of level B exhibit region does not give closure to a 3-D figure. So finding a volume for level B exhibit region must wait for a calculus answer to the volume inside the hyperboloid of one sheet. Give several reasons to show this volume is very important to find.

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