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.
a. What is the volume of the cylinder rounded to the nearest cubed centimeter?
b. What is the total volume of the three balls rounded to the nearest cubed centimeter ?
c. What percent of the volume of the container is occupied by the three balls?
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OpenStudy (osuxbucks15):
OpenStudy (osuxbucks15):
Please show or tell how you did it
OpenStudy (anonymous):
(a) 13 cm is the diameter of each ball. if the balls fit tightly in the container, the diameter of the container is 13cm. volume formula for a cylinder is pi r squared times diameter. solve for volume
OpenStudy (osuxbucks15):
6.5 times 3.14 times 13
OpenStudy (osuxbucks15):
265.33
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OpenStudy (osuxbucks15):
?
OpenStudy (osuxbucks15):
@johnny999
OpenStudy (anonymous):
yes
OpenStudy (osuxbucks15):
ok so is that a.
OpenStudy (anonymous):
(b) volume of a sphere = 4/3 pi r cubed
solve that and multiply the answer by 3
that is the volume of all three balls
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OpenStudy (osuxbucks15):
Can u right the numbers out for that one?
OpenStudy (anonymous):
sure. 4/3 times 3.14 times 6.5 cubed
OpenStudy (osuxbucks15):
ok thanks
OpenStudy (anonymous):
(c) now turn 265.33 over whatever your answer to that is into a percentage
OpenStudy (osuxbucks15):
b. 1,149.58?
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OpenStudy (osuxbucks15):
@johnny999
OpenStudy (osuxbucks15):
and how do i find the percentage
OpenStudy (anonymous):
divide answer to a by answer to b
OpenStudy (osuxbucks15):
?
OpenStudy (anonymous):
265.33 divided by 1149.58
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OpenStudy (osuxbucks15):
o ok and is that b
OpenStudy (anonymous):
what?
OpenStudy (osuxbucks15):
is that the answer for b or c
OpenStudy (anonymous):
c
OpenStudy (osuxbucks15):
4.332
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