kmmjones4533 kmmjones4533
  • 26-05-2018
  • Mathematics
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What is the volume of a sphere if it's greater circle has an area of 9pi cm?

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tramserran
tramserran tramserran
  • 26-05-2018
Area of circle = π · r²
               9 π  = π · r²
                   9 = r²
                   3 = r

Volume of sphere = (4/3)π · r³
                             = (4/3)π · (3)³
                             = 4π · 3²
                             = 4π · 9
                             = 36π

Answer: the volume of the sphere is 36π
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