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The volume V #cm^3# of a solid depends partly on #r^2# and partly on #r^3# where r cm is one of the dimensions of the solid. When r=1, the volume is #54.6cm^3# and when r=2,the volume is #226.8cm^3#.
(a)Find an expression for V in terms of r.
(b)Calculate the volume of the solid when r=4
(c) Find the value of r for which the two parts of the volume are equal.