christythemagicgirl christythemagicgirl
  • 24-02-2018
  • Mathematics
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The cylinder and the cone have the same volume.what is the height of the cone

The cylinder and the cone have the same volumewhat is the height of the cone class=

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Аноним Аноним
  • 24-02-2018
Height of the cone is = 3/2 of height of the cylinder


V
cy = (Rco²×π×H)= volume of cylinder
Vco = (Rco²×π×H)/3= volume of cone
Vcy = Vco
Rco = 2 Rcy (radius)
height of the cone =?
 

Vcy = Vco
R² × π × Hcy = (2R² × π × Hco)/3
Hcy = (2R² × π × Hco)/ 3R² × π
Hcy = 2/3 Hco
so:
Hco = 3/2 Hcy

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