rachel5shekar
rachel5shekar rachel5shekar
  • 19-06-2021
  • Mathematics
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The volume of a sphere is 905 1/7 cm³ ? Determine its diameter
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kcharuhasini7dtaksha
kcharuhasini7dtaksha kcharuhasini7dtaksha
  • 19-06-2021

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

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