A Cone, a Heme sphere and a Cylinder have equal bases and heights. What is the ratio of their volumes.

• Volume of cone=(1/3)*pi*r^2*h
  Volume of hemisphere=(2/3)*pi*r^3
  Volume of cylinder=pi*r^2*h
  Since base and height of all three figures are same and for hemisphere h=r
  So ther volumes are in the ratio (1/3:(2/3):1=1:2:3
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• the ratio of their volumes is 1:2:3
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• 1:2:3
  Use formula of volume
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• Volume of cone=(1/3)*pi*sqrt(r)*h
  Volume of hemisphere=(2/3)*pi*sqrt(r)*h
  Volume of cylinder=pi*sqrt(r)*h
  where r= radius of base of all figures
  h= height of all figures
  but h = r
  so , Ratio of volumes = 1/3 : 2/3:1 = 1:2:3
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• 1:2:3
  coz hemisphere volume = 2/3( pi*r^3)
  cone vol= 1/3(pi*r^2*h)
  cylinder vol= pi*r^2*h
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