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A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 444 inches.
What will the height of the new cones be?

Respuesta :

adioabiola

Based on the given parameters about old cone, the height of the new cone is 12 inches

Equivalent ratio

Old cone:

  • Radius, r = 2 inches
  • Height, h = 6 inches

New cone:

  • Radius, r = 4 inches
  • Height, h = h

equate ratio of radius to height in old and new cone

2 : 6 = 4 : h

2/6 = 4/h

cross product

2 × h = 6 × 4

2h = 24

h = 24/2

h = 12 inches

Learn more about ratio:

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