Question

A sphere fits snugly inside a cube with 6-in. edges. what is the approximate volume of the space between the sphere and cube to the nearest whole number? 28 in3 113 in3 77 in3 103 in3

Answer 1

103 in3 is the answer. Hope this helps.

Answer 2

The answer is 103 cubic inches.

Explanation:

The volume of cube is =
`6*6*6=216` cubic inch

As the side of sphere is 6 inches, we can say that the radius of sphere will be 3 inches.

The volume of sphere is given as:

`(4)/(3) \pi r^(3)`

=>
`(4)/(3) *3.14*3*3*3` = 113.04 cubic inches

So, the remaining space between the cube and sphere is :

`216-113.04=102.96` ≈ 103 cubic inches.