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andrew-mc [135]
3 years ago
6

What is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?​

Mathematics
1 answer:
sweet [91]3 years ago
6 0

9514 1404 393

Answer:

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

  • V = 4/3πr³ . . . sphere
  • V = 1/3πr²h . . . cone

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.

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