truelifegoals2002 truelifegoals2002
  • 20-03-2016
  • Mathematics
contestada

a cylinder has a diameter of 14 centimeters and a volume of 112 pi cubic centimeters. What is the height, in centimeters, of the cylinder

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taskmasters
taskmasters taskmasters
  • 25-03-2016
Diameter of the cylinder = 14 centimeters
Radius of the cylinder = (14/2) centimeters
                                    = 7 centimeters
Volume of the cylinder = 112 π cubic centimeters.
Let us assume the height of the cylinder = h
Then
Volume of the cylinder = 
π (Radius)^2 h
112
π = π * (7)^2 * h
Dividing both sides with 
π, we get
112 = 49 h
h = 112/49
   = 2.285 centimeters
So the height of the cylinder in question is 2.285 centimeters.
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