The ratio of volumes of two spheres is 125:64 find the ratio of their diameters

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Given

Ratio of volume of two spheres = 125 : 64

Formula used

surface area of sphere =4πr2

Volume of sphere = (4/3)πr3

Where r is radius respectively

Calculation

[(4/3)πR3/(4/3)πr3] = 125/64

Where R and r are radius of two sphere

⇒ R3/r3= 125/64

⇒ R = 5r/4

 surface area of 1st sphere/Surface area of 2nd sphere =[4π(5r/4)2]/4πr2

⇒ 25 : 16

∴ Ratio of surface area of two spheres is 25 : 16.

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The volume of the.two ratio is 125: 64 find the ratio of their radii