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

The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.

Respuesta :

Answer:

Its 2714

Step-by-step explanation:

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The volume of the material that would be needed for each cylindrical cracker is approximately: 2,714 mm³ mm³.

What is the Volume of a Cylinder?

Volume of a cylinder = πr²h

The volume of the material used for each cylindrical cracker = Volume of entire cylindrical cracker - volume of cylindrical hole

Radius of entire cracker (r) = 16/2 = 8 mm

Height (h) = 18 mm

Volume of the entire cracker = π(8²)(18) ≈ 3,619 mm³

Radius of hole (r) = 8/2 = 4 mm

Height (h) = 18 mm

Volume of the entire cracker = π(4²)(18) ≈ 905 mm³

The volume of the material used for each cylindrical cracker = 3,619 - 905 = 2,714 mm³

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