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The dimensions of four cones, measured in units, are given in the left column of the table. Complete the table by determining each corresponding volume in terms of . Dimensions T= 2.5 units; h 6 units r=7 units; h = 9 units d 4 units; h 3 units 15 units; h 12 units​

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sqdancefan

Answer:

  • 12.5π cubic units
  • 147π cubic units
  • 16π cubic units
  • 900π cubic units

Step-by-step explanation:

You want the volumes of four cones, with radii 2.5, 7, 4, 15 units and corresponding heights 6, 9, 3, 12 units.

Volume

The volume of a cone is given by ...

  V = 1/3πr²h

Using the given values, we find the volumes to be ...

  • V = 1/3π(2.5²)(6) = 12.5π . . . . cubic units
  • V = 1/3π(7²)(9) = 147π . . . . cubic units
  • V = 1/3π(4²)(3) = 16π . . . . cubic units
  • V = 1/3π(15²)(12) = 900π . . . . cubic units

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Additional comment

For repeated calculations using the same formula, it is convenient to use a spreadsheet or calculator to operate on lists of parameters. That way, the problems can be addressed by entering the formula and data only once.

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