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Nikolay [14]
2 years ago
9

If a cone is 8 feet tall and has a base circumference of 29.516 what is the volume

Mathematics
1 answer:
pashok25 [27]2 years ago
4 0

9514 1404 393

Answer:

  184.9 ft³

Step-by-step explanation:

In order to find the volume, we need to know the radius. We can find that from the circumference.

  C = 2πr

  r = C/(2π) = 29.516/(6.28319) ≈ 4.6976 . . . . feet

The volume of the cone is found using the formula ...

  V = 1/3πr²h

  V = 1/3π(4.6976 ft)²(8 ft) ≈ 58.847π ft³

  V ≈ 184.9 ft³ . . . . volume of the cone

_____

The "pi button" is used throughout. If you use 3.14 for pi, your answer may be closer to 185.0 (rounded to tenths).

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