The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their: (i) radii (ii) surface areas

Given, Volume of first sphere = 27 x volume of second sphere Let the radius of the first sphere = r 1 and, radius of second sphere = r 2 (i) According to the question, we have : Hence, r 1 : r 2 = 3 : 1. (ii) Surface area of the first sphere = 4π(r 1 ) 2 Surface area of second sphere = 4π(r 2 ) 2 Hence, the ratio of surface areas = 9 : 1.