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A cylinder with a mass of 98 grams is made of copper (density 8.94 g/cm³). If the radius of the cylinder is 2.0 cm, what is the height of this object in cm?

Respuesta :

ayfat23

The height of the described cylinder is 0.85 cm

  • The density of a substance can be regarded as the ratio of mass and the  unit volume.
  • Volume can be regarded as amount of three-dimensional space  that is been enclosed by a surface .
  • For example, the space that a substance can be solid, liquid, gas, or plasma, or any space-occupying shape.
  • Mass= 98g

  • Density= 8.9g/cm^3
  • Density= (mass/volume)

Substitute the values

  • 8.94= 98/ volume
  • Volume= [tex]\frac{98}{8.94}[/tex]
  • Volume= 10.97[tex]cm^{3}[/tex]
  • Volume of a cylinder can be found with (V = π r 2 h.)
  • h= height of cylinder ?
  • radius= 2cm

Substitute the values

  • 10.97= π × [tex]2^{2}[/tex] × h
  • h= 10.97/12.57
  • h= 0.85 cm

Therefore, height of the described cylinder is 0.85 cm

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