The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. For two spheres with radii 5 and 8, their volumes are ( V_1 = \frac{4}{3} \pi (5^3) ) and ( V_2 = \frac{4}{3} \pi (8^3) ). The ratio of their volumes is given by ( \frac{V_1}{V_2} = \frac{5^3}{8^3} = \frac{125}{512} ). Thus, the ratio of their volumes is ( 125:512 ).
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