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If the radius, 8 cm, of a cone is increased by 120% of it's original value, but its height, 6 cm, doesn't change, by approximately how many cubic centimeters does the volume of the cone increase?

Respuesta :

The increase in the volume of the cone is 1,544.78 cm³.

The volume of the original cone

Volume of a cone = 1/3πr²h

  • π = 22/7
  • r = radius  
  • h = height

1/3 x 8² x 6 x π = 128π cm³

The volume of the new cone

Volume of a cone = 1/3πr²h

  • π = 22/7
  • r = radius = 2.20 x 8 = 17.60 cm
  • h = height

1/3 x 17.60² x 6 x π = 619.52π cm³

Change in volume

619.52π cm³ - 128π cm³ = 491π cm³ = 491 x 22/7 = 1,544.78 cm³

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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