A sphere and a cube has same surface area find the ratio of their volumes

• given equal surface area
  => 4*pi*r^2 = 6 *a^2
  => (r/a)^2 = 6/(4*pi)
  
  now ratio of volume,
  (4/3*pi*r^3)/(a^3)
  = (4*pi*(r^2)*r)/(3*(a^2)*a)
  = (6^1/2)/(pi^1/2)
  
  ratio is, 6^0.5 : pi ^0.5
• 10 years agoHelpfull: Yes(1) No(0)