Question 1133041
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It is not necessary to use the formula for the surface area of a sphere to answer this question.<br>
All spheres are similar.  For any similar figures, if the ratio of linear measurements between the two is a:b, then the ratio of area measurements between the two is a^2:b^2,and the ratio of volume measurements between the two is a^3:b^3.<br>
In this problem, since the ratio of the radii of the two spheres is 3:4, the ratio of their surface areas is 3^2:4^2 = 9:16.