Spheres - ratios

The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes.

Correct answer:

r2 =  1:8

Step-by-step explanation:

r1=1:4=0.25 r1 = S1:S2 = 4 π R12 : 4 π R22 r1 = (R1/R2)2 = k2  k = R1:R2 = R1/R2 k=r1=0.25=21=0.5  r2 = V1:V2 =  34π R23 34π R13  r2 =  R23 R13  r2 = (R1/R2)3  r2=k3=0.53=0.125=1:8



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