Tennis balls are packaged into cylindrical cans to ship and sell. three tennis balls fit into one cylinder so that the height of the three balls is equal to the height of the cylinder. and the diameter of one ball is equal to the diameter of the cylinder. the radius of one tennis ball is 1.3 inches. how much air space is in the cylinder around the tennis balls?

  about 13.8 in³

Step-by-step explanation:

The volume of air is the difference between the volume of the cylinder of radius 1.3 inches and height 7.8 inches, and that of three spheres, each with a radius of 1.3 inches.

The formula for the volume of a cylinder is ...

  V = πr²h

The formula for the volume of a sphere is ...

  V = (4/3)πr³

For h = 6r, the difference is ...

  (cylinder volume) - 3×(sphere volume) = πr²·(6r) - 3×(4/3)πr³

  = πr³(6 -4)

  = 2πr³ = 2π(1.3 in)³ = 4.394π in³

  ≈ 13.8 in³ . . . . air space in the cylinder of tennis balls

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p