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Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.

AWhat is the volume of the cylinder rounded to the nearest cubed centimeter?
BWhat is the total volume of the three balls rounded to the nearest cubed centimeter ?
CWhat percent of the volume of the container is occupied by the three balls?

Verified Answer :

pkmnmushy

So lets get one by one:

 a) height = 3 diameter 
cross section area = pi (diameter/2)^2 
Volume = 3/4 pi diameter^3 

b) volume of 3 balls = 3 4/3 pi (diameter/2)^3 
=1/2 pi diameter^3 

c) The ratio is the answer to b over the answer to a 
= (1/2) / (3/4) = 2/3
I hope this is what you were looking for.

haiiamaperson

Answer:

A: 5177 cm^3

B: 3449 cm^3

C: 66%

Step-by-step explanation:

3.14 x (13/2)^2 x (13 x 3) = 5176.56 -> 5177 cm ^3

(4/3 x 3.14 x (13/2)^3) x 3 = 3449.29 -> 3449 cm^3

3449/5177 = 0.66 -> 66%

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