St. Louis Science Center Planetarium Mathematics I.

Level B 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. )

The radius of the sky chamber is close to the radius of the dome. The perimeter chamber wall has open areas for you to pass into level B inside exhibits, elevators and stair steps that take you to level E or level A exhibits. In these problems we will assume the chamber wall to be a closed cylinder surface. You may use formulas from reference sources you have or use calculus to answer these problems. Please give your answers in feet, square feet, or cubic feet but you start with the radius equal to 50 meters. The height from floor to the sky dome is 9.875 feet.

a)     What is the radius of the floor of the chamber wall cylinder in feet?

b)     What is the area of this floor?

c)     What is the lateral surface area of this cylinder?

d)     What is the volume of this cylinder?

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