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jayda

  • 3 years ago

A machinist drilled a cone-shaped hole into a solid cube of metal as shown. If the cube's sides have a length of 4 centimeters, what is the volume of the metal cube after the cone is drilled? Use 3.14 for pi and round your answer to the nearest tenth.

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  1. jayda
    • 3 years ago
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    |dw:1344107712951:dw|

  2. j814wong
    • 3 years ago
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    Subtract the volume of the cone from the volume of the cube. The volume of a cone formula is (1/3)\[(1/3)\pi r ^{2}h\]

  3. j814wong
    • 3 years ago
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    \[(4^{3})-((1/3)(3.14)(2^{2})(4))\]=Volume of metal cube after cone is drilled

  4. j814wong
    • 3 years ago
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    4 is the length of the cube sides and also the height (4) assuming the cone tip touches the bottom face of the cube. And the circumference of the cone is 4 so the radius is 2.

  5. snowflakepixie
    • 3 years ago
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    @j814wong is correct, you would subtract the volume of the cone from that of the cube. But this belongs in the mathematics group.

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