What is the volume of a sphere if it's greater circle has an area of 9pi cm?

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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 · Answer 1 · 2018-05-26T12:54:53+02:00

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