the ratio of suface areas of two spheres is 25:49. find the ratio between their radii

let the radius of 1st sphere = R

radius of 2nd sphere = r

given the ratio of surface areas = 25:49

(4*pi*R2)/(4*pi*r2) = 25/49

=> R2/r2 = 25/49

=> R/r = 5/7

therefore ratio of theri radii = 5:7

cheers.... :)


  • 16
  • 4pier2 = surface area 
  • 25 by 49 = 4pier2 by 4pieR2
  • 25 by 49 = r2 by R2
  • 5by7
  • ratio 5:7
     
  • 0

radius of the first sphere = R

radius of second spherte = r

given = 25:49

(4 x 22/7 x R2) / (4 x 22/7 x r2) = 25/49

= R2/r2 = 25/49

= R/r = 5/7

so ur answer is 5:7

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