Volume of two spheres in the ratio 64:125 find the ratio of there surf

1.	Volume of two spheres in the ratio 64:125 find the ratio of there surface areas
Answer» Ratio of volumes of two spheres = V1/V2 = 64 /125Volume of sphere = (4/3)πr³V1/V2 = 64/125(4/3)πR1³ / (4/3)πR2³ = 64/125R1³ / R2³ = 64/125(R1/R2)³ = 64/125(R1/R2)= ³√64/125R1/R2 = ⅘Surface area of sphere: 4πr²S1/S2 = 4πR1² / 4πR2²S1/S2= R1² / R2²S1/S2 = (R1/R2)²S1/S2 = (⅘)²S1/S2 = 16/25S1 : S2 = 16 : 25Hence, the ratio of their Surface areas = 16 : 25.\xa0 16:25 16:25

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