Answer :

GIVEN : radius of balloon before the increase “r” = 7cm

radius of balloon after the increase “R” = 14cm

TO FIND : ratio of volumes of the balloon in both cases

PROCEDURE :

Volume of balloon before the increase “V1” = ×π ×r^{3}

Volume of balloon after the increase “V2” = ×π ×R^{3}

Ratio of the volumes in the 2 cases =

= = = = = =

∴ the ratio of volumes of the balloon in the two cases is = ie. 1 : 8.

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