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

Answer:

The answer is 103 cubic inches.

Step-by-step explanation:

The volume of cube is = $6\times6\times6=216$ 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:

$\frac{4}{3} \pi r^{3}$

=> $\frac{4}{3} \times3.14\times3\times3\times3$ = 113.04 cubic inches

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

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