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A cone with a diameter of 6 centimeters and a height of 8 centimeter is drilled into a wooden cube with sides measuring eight centimeters, find the volume of the wood that remains?

Respuesta :

samuelonum1

We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.

Volume of wood that remain = 436.6 cm^3

Volume of Solids

Given Data

  • Diameter of cone = 6 cm
  • Radius = 3 cm
  • Height of cone = 8 cm
  • Dimension of Cube = 8 cm

Let us find the volume of the cone

Volume of cone = πr^2h/3

Volume of cone = 3.142*3^2*8/3

Volume of cone = 3.142*9*8/3

Volume of cone = 226.224/3

Volume of cone = 75.408cm^3

Let us find the volume of the cube

Volume of cube = L^3

Volume of cube = 8^3

Volume of cube = 512cm^3

Hence the volume of the wood that remains

= volume of cube - volume of cone

= 512 - 75.408

= 436.6 cm^3

Learn more about volume of solids here:

https://brainly.com/question/21036176

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