SSC CPO SI and ASI Model Paper 3

(3) Volume of a sphere =

4

3

πr3
Let r1 and V1 be the radius andvolume of sphere 1 and r2and V2be the radius and volume of sphere2.
According to the question,
Volume of sphere 1 : Volume ofsphere 2 = 27 : 64
⇒

4

3

πr13:

4

3

πr23=27:64
⇒r1:r2=3:4
Surface area of sphere =4πr2
Required ratio = Surface area ofsphere 1 : Surface area of sphere 2
⇒4πr12:4πr22=9:16