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A cone's height is equal to the radius of its base. The area of its base is 1,386 square units. The approximate radius of the cone's base is____ units. The approximate volume of the cone is ____cubic units. Use . Pie= 22/7

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sqdancefan

Answer:

  • 21 units
  • 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

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