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 ×r3
Volume of balloon after the increase “V2” = ×π ×R3
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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