The difference in volumes between cube and cone is 5190.52 cubic units.
<h3>How to find the volume of a cube?</h3>
Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
![V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E3%20h%20%5C%3A%20%5Crm%20unit%5E3)
The height is 20 cm and the radius will be
![D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1](https://tex.z-dn.net/?f=D%20%3D%2020%5Csqrt%7B2%7D%20%5C%5C%20%3D%2028.2%5C%5C%5C%5Cr%20%3D%20D%2F2%5C%5C%20%3D%2014.1)
volume of that cone
![V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E3%20h%20%5C%3A%20%5Crm%20unit%5E3)
= ![V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%283.14%29%20%2814.1%29%5E3%20%2820%29%20%5C%3A%20%5Crm%20unit%5E3)
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
Learn more about the volume of a cube here:
brainly.com/question/26136041
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