Adisplay box is designed to hold a single baseball so the ball touches all six faces of the box. if the diameter is 2.9 inches, how much empty space is in the box around the ball.

11.619 cubic inches empty space is in the box around the ball.

Step-by-step explanation:

We are given diameter of the ball in the empty box = 2.9 inches.

So, the each side of the box is 2.9 inches.

Radius of the ball = 2.9/2 = 1.45 inches.

Volume of the complete box without ball =.

Plugging value of side in above formula, we get

Volume of the empty box = =24.389 cubic inches.

Volume of the ball = volume of the sphere with radius 1.45 inches = .

= =

= 12.77.

Therefore, volume of the empty box around the ball = Volume of box-volume of ball = 24.389 - 12.77 = 11.619 cubic inches.

11.619 cubic inches empty space is in the box around the ball.

Idrk but i think u should figure out the n dia n then the units it will make it way more easier

2/1 or just 2. sorry if i get this wrong