Acylindrical cardboard mailing tube has a diameter of 90 mm. and a height of 600 mm. a total of 20% of the tube’s capacity is filled with spherical packing foam. each foam sphere has a radius of 15 mm.
approximately how many pieces of foam are in the tube?
use 3.14 to approximate pi and express your answer as a whole number.

Calulate Cylinder Volume:  remember;   Vcyl = 3.14(r)2h

Vcyl = 3.14 (45mm)2 600 mm                          

  Vcyl = 3.14 (2025mm2) 600mm Vcyl = 3815100 mm3 or 3.8 x106 mm3  

Next calculate the percentage of volume taken up by styrofoam balls

3815100 x 20/100  = 763020  Vstyroballvol = 763020mm3

{as a check calculate}

80%   3815100 x 80/100 = 3052080 mm3

20%  3815100 x 20/100 =  763020 mm3 

100%  = 80% + 20% = 3815100 mm3                                

Now calculate the Volume of the Sphere: Vsphere = 4/3*3.14*(r)3

Vsp = 4/3*3.14*(15mm)3  Vsp =  4/3*3.14*(3375) Vsp =  14130 mm3 

 for 1 stryofoam ball  

Lastly  divide the amount of 20% vol of cylinder by one ball volume      

 763020mm3 / 14130mm3

=  54 styrofoam balls will fill or are in the tube.     Answer

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: