contestada

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​

Respuesta :

sqdancefan

Answer:

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

__

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.

Ver imagen sqdancefan