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.

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.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12