Find the volume of a right circular cone that has a height of 5.1 ft and a base with a diameter of 15.4 ft. Round your answer to the nearest tenth of a cubic foot.

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Answer:

V = 419.459168

Step-by-step explanation:

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9514 1404 393

Answer:

  316.7 ft³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...

  V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³

The volume of the cone is about 316.7 cubic feet.

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If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.