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avatar+1911 

A spherical ball fits snugly inside a cylindrical jar, so that the ball touches the top and bottom of the jar, and the sides of the jar.  The volume of the cylinder is $144 \pi.$  What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?

 Jan 16, 2024
 #1
avatar+37147 
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LATERAL Surface area of sphere =   pi * 2r * h        but we know that   h = 2r 

                                                       = pi * 2r * 2r = 4 pi r^2

 

Surface area of a sphere = 4 pi r^2   

   so the difference between the sphere srface area and the lateral cylinder =   ZERO 

 Jan 16, 2024

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