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The surface area of the globe in a teacher's homeroom is about 1018 in.2. What is the diameter of the globe? Round to the nearest inch.

Guest May 1, 2017
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Suface area sphere  =  4 pi  (diameter/2)^2

 

1018   = 4 pi   (diameter/2)^2        divide both sides by 4 pi

 

1018 /  [ 4 pi ]   =  (diameter/2)^2     take the posotive root of both sides

 

√  [  1018 / (4 pi ) ]   =  diameter / 2     multiply both sides by 2

 

2 √  [  1018 / (4 pi ) ]     =  diameter ≈  18 inches

 

 

cool cool cool 

CPhill  May 1, 2017

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