Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius `5sqrt(3)c m` is `500\ pi\ c m^3` .

Explanation

Let the radius and height of the cylinder be `r` and `h`.

`implies(h/2)^2+r^2=(5sqrt3)^2`


`impliesr^2=75−{h^2}/4`



`V=pir^2h`


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