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A spherical scoop of vanilla ice cream with radius of 2 inches is dropped onto the surface of a dish of hot chocolate sauce. As it melts, the ice cream spreads out uniformly forming a cylindrical region 8 inches in radius. Assuming the density of the ice cream remains constant, how many inches deep is the melted ice cream? Express your answer as a common fraction.

 Feb 25, 2021
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Sphere volume    =    cylinder volume

4/3 pi (2^3)         = pi 8^2   h

 4/3 (8) = 64 h               I think you can solve it for 'h' from here .....      inches

 Feb 25, 2021

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