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

Question

3 years ago

11

is the volume of the space between the cube and sphere?

1 answer:

yuradex [85] · Answer 1 · 2022-12-12T10:05:22+03:00

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

= (20)³

= 8000 cubic in.

Volume of the sphere which just fits in = $\frac{4}{3}\pi r^{3}$

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = $\frac{20}{2}$

r = 10 in

Therefore, volume of the sphere = $\frac{4}{3}\pi (10)^3$

= 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

= 3811.21 cubic inch