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Free_Kalibri [48]
3 years ago
14

24. Four golf balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of t

he cylinder. The diameter of each ball is 4cm.
Mathematics
1 answer:
KiRa [710]3 years ago
3 0
The complete question is
<span>Four golf 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 4cm.
1) </span><span>What is the volume of the cylinder rounded to the nearest cubic centimeter?
</span>2) <span>What is the total volume of the four balls rounded to the nearest cubic centimeter?
</span>3) <span>What percent of the volume of the container is occupied by the four balls?
</span><span>
Part 1) volume of the cylinder=pi*r</span>²*h
<span>r=4/2----> 2 cm
h=4*4----> 16 cm
</span>volume of the cylinder=pi*2²*16----> 200.96 cm³----> 201 cm³

the answer Part 1) is 201 cm³

Part 2) volume of a sphere=(4/3)*pi*r³ ( is equal to volume of one <span>golf ball)
</span>r=2 cm
volume of a sphere=(4/3)*pi*2³ ----> 33.49 cm³
so
volume of four golf ball-----> 4*33.49----> 133.97 cm³----> 134 cm³

the answer part 2) is 134 cm³

part 3)
volume of cylinder=201 cm³
volume of the four golf ball=134 cm³
so
if 201 cm³-----------> 100%
134 cm³--------> x
x=134*100/201----> x=66.67%

the answer part 3) is 66.67%


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