KarmaGidley497
Answered

A cylindrical 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.

Verified Answer :

firenlaw

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 = 4/33.14(r)3


Vsp = 4/33.14(15mm)3 

Vsp =  4/33.14(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

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