# The radius of hemispherical ballon increase from 7 cm to 14 cm as air is being pumped into it . Find the ratios of the surface areas of the ballon in the two case.

Solution: Let S1 and S2 be the surface Area of the hemispherical ballon when its

radii are 7 cm and 14 cm respectively . Then

$\\ S1=3\pi \times 7^2;and; S2=3\pi \times 14^2\\ \\\Rightarrow S1/S2=1/4\\ \\\Rightarrow S1:S2=1:4$

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