The ratio for the volumes of two similar spheres is ( 125 / 729 ).
What is a ratio?
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
The volume of the sphere is V = 4πr³, and the ratio is calculated as:-
\(\dfrac{v_1}{v_2}=\dfrac{4\pi r_1^3}{4\pi r_2^3}\)
\(\dfrac{v_1}{v_2}=(\dfrac{r_1}{r_2})^3\)
\(\dfrac{v_1}{v_2}=(\dfrac{5}{9})^3\)
\(\dfrac{v_1}{v_2}=\dfrac{125}{729}\)
Hence, the ratio of the volume is 125 / 729.
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