The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.
The volume of sphere is found as;;
[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]
The volume of cube is found as;
Volume of cube = Length x width x height
Volume of cube =20 x 20 x 20
Volume of cube = 8000
The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.
V=8000 - 4188.790205
V = 3811.209
The volume of the cube not filled by the sphere is 3811.209.
Hence, option A is the correct.
To learn more about the volume, refer to the link;
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