At a festival, spherical balloons with a radius of $330.$cm are to be inflated with hot air and released. The air at the festival will have a temperature of $25\backslash$deg C and must be heated to $100\backslash$deg C to make the balloons float. $2\mathrm{.}00$kg of butane C$4$H$10$ fuel are available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot air.

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