Two similar cylinders have volumes of 5760\mathrm{cm}^3 and 90\mathrm{cm}^3.


Find the fully simplified ratio of the volume of the larger cylinder to the volume of the smaller cylinder.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Two similar cylinders have volumes of 5760\mathrm{cm}^3 and 90\mathrm{cm}^3.


Find the fully simplified ratio of the volume of the larger cylinder to the volume of the smaller cylinder.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Two similar cylinders have volumes of 5760\mathrm{cm}^3 and 90\mathrm{cm}^3.


Find the fully simplified ratio of the volume of the larger cylinder to the volume of the smaller cylinder.