Volume of two spheres is in the ratio64:125 find the ratios of their s

1.	Volume of two spheres is in the ratio64:125 find the ratios of their surface areeas
Answer» Let r1\xa0and r2\xa0be the radius of two spheres. So, volume of first sphere = 4 πr1{tex}^3/3{/tex}\xa0volume of second sphere = 4 π r2{tex}^3/3{/tex}It is given that , volume of first sphere/ volume of second sphere = 64/125r13/r23\xa0= 64/125r1\xa0/ r2\xa0= 4/5Surface area of first sphere = 4 π r12Surface area of second sphere = 4 π r22So their ratio = r12/r22\xa0= (4/5)2 = 16/25

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