Q. 44.2( 206 Votes )

# The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases

Answer :

Radius (r_{1}) of spherical balloon = 7 cm

Radius (r_{2}) of spherical balloon, when air is pumped into it = 14 cm

Ratio =

=

= ()^{2}

= ()^{2} =

Therefore, the ratio between the surface areas is 1:4

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