. The volumes of the two spheres are in the ratio 64: 27. Find the ratio of their surface area.

  • 7

V1 : V2 = 4/3 * pi * R3 : 4/3 * pi * r3

=> 64/27 = R3 / r3

=> (4/3)3 = (R/r)3

Therefore R = 4 and r = 3

A1 : A2 = pi * R2 : pi * r2

=(pi * 16)  / ( pi * 9)

= 16 : 9 

Therefore the ratios of their surface areas is 16:9.

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