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A sphere is inscribed inside a hemisphere of radius 2. A cube is inscribed in the sphere.  What is the volume of this cube?

 Nov 14, 2021
 #1
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The sphere's DIAMETER is 2

this will also be the cube's 3-D diameter

    find cube side length

            s^2 ^ s^2 + s^2 = 2^2

                s = sqrt (4/3 )

 

Volume = s * s* s =   (sqrt 4/3)^3 =  (4/3)3/2 = 1.5396  units3

 Nov 14, 2021
 #2
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1.5396 units

 Nov 15, 2021

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