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.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value