(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

Q. 94.4( 232 Votes )

Twenty seven soli

Class 9th NCERT - Mathematics 13. Surface Areas and Volumes

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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