Answer :
(i) Volume of new sphere having radius r’ = πr’3
Volume of 27 spheres having radius r = 27 × πr3
According to the question,
πr’3 = 27 ×
πr3
= r’3 = 27r3
= r’3 = (3r)3
r’ = 3r
(ii) Ratio of surface area =
=
= = 1: 9
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