St. Louis Science Center Planetarium Mathematics I.

Sky Dome

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 dome is a hemisphere with a radius equal to 50 meters. 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.

a)     What is the radius of the sky dome in feet?

b)     What is the area of its (imaginary) base?

c)     What is the surface area of this hemisphere?

d)     What is the volume of this hemisphere?

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