Mathematics
Grade-8
Easy

Question

List the cones described below in order from least volume to greatest volume.
  • Cone 1: radius 11 cm and height 9 cm
  •  Cone 2: radius 8 cm and height 14 cm
  •  Cone 3: radius 14 cm and height 8 cm

  1. Cone 3, Cone 2, Cone 1
  2. Cone 2, Cone 1, Cone 3
  3. Cone 1, Cone 3, Cone 2
  4. Cone 3, Cone 1, Cone 2

hintHint:

Volume of Cone   =   1 third πr squared straight h
 calculate and then order them by their volume 

The correct answer is: Cone 2, Cone 1, Cone 3


    Given Cones are 

    • Cone 1: radius 11 cm and height 9 cm

    •  Cone 2: radius 8 cm and height 14 cm

    •  Cone 3: radius 14 cm and height 8 cm

    Volume of Cone   =   1 third πr squared straight h

    Step 1 :

    Volume of Cone 1 =133.1411 11   =  1140 cm3 
     

    Step 2 :

    Volume of Cone 2  =133.148 8 14    =  938 cm3 
     

    Step 3 :

    Volume of Cone 3 =133.1414 14   = 1641 cm3 
     

    So , order will be cone2 , cone1 , cone3 
     

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