A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What
1 answer:
Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in =
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r =
r = 10 in
Therefore, volume of the sphere =
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
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Where (nCx) means combinatory and it's given by this formula:
And the distribution is given by:
With