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A company makes cylindrical crackers that have a cylindrical hole in the middle.

The diameter of the entire cracker is 16 mm the diameter of the hole is 8 mm, and the cracker is 18 mm long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.

Respuesta :

Answer:

2714 mm3

Step-by-step explanation:

   Volume of the material used in each cylindrical cracker is 2714 cubic mm.

Volume of a cylinder:

  • Volume of a cylinder is given by the expression,

         Volume = πr²h

Given in the question,

  • Cylindrical cracker have a cylindrical hole in middle.
  • Diameter of entire cracker = 16 mm
  • Diameter of the cylindrical hole = 8 mm
  • Length of the cracker = 18 mm

Material used in cracker = Volume of the whole cracker - Volume of the cylindrical hole

                                         = [tex]\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)[/tex]

                                         =  1152π - 288π

                                         = 864π

                                         = 2714.34

                                         ≈ 2714 cubic mm.

  Therefore, volume of the material used in each cracker will be 2714 mm³.

Learn more about the volume of a cylinder here,

https://brainly.com/question/15891031?referrer=searchResults

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