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A spherical soap bubble lands on a horizontal wet surface and forms a hemisphere of the same volume. Given the radius of the hemisphere is 3 cm, find the radius of the original bubble.

 Dec 8, 2021
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Volume of a cube:  4/3 pi r3

 

Sphere with 3 cm    =   4/3 pi (27)  = 36 pi      HEMI-sphere is 1/2 of this = 18 pi

 

 

Volume of ORIGINAL sphere = 18 pi = 4/3 pi r3

                                                      3/4 (18 ) = r3        Solve for the original 'r'

 Dec 8, 2021

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