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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.