A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below. The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.
[π=3.14]
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OpenStudy (anonymous):
OpenStudy (anonymous):
question 3 is posted
OpenStudy (anonymous):
tips?
OpenStudy (anonymous):
from the two champions?
OpenStudy (anonymous):
what can you tell me about the diameter of the ball compared with the diameter of the cylinder?
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OpenStudy (anonymous):
well the ball of the diamter is 20
OpenStudy (anonymous):
so
OpenStudy (anonymous):
the top of the cylinder has the same diameter
OpenStudy (anonymous):
so.... ???
OpenStudy (anonymous):
ok...... would you say they have the same radius then?
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OpenStudy (anonymous):
yep
OpenStudy (anonymous):
they each have a radius of 10
OpenStudy (anonymous):
what's formula for the volume of a cylinder?
OpenStudy (anonymous):
pie r squared times height
OpenStudy (anonymous):
However, I don't know the height?
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OpenStudy (anonymous):
:(
OpenStudy (anonymous):
yes you do know the height.... look at the figure carefully...
OpenStudy (anonymous):
ehh
OpenStudy (anonymous):
circumference is the height?
OpenStudy (anonymous):
ehh
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OpenStudy (anonymous):
take the ball out of the clinder... put them side by side how tall is the ball compared to the height of the cylinder?
OpenStudy (anonymous):
basically the same
OpenStudy (anonymous):
wait
OpenStudy (anonymous):
ya...
OpenStudy (anonymous):
you just made me think of something
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OpenStudy (anonymous):
what's the height?
OpenStudy (anonymous):
the diameter of the circle can also serve as the height!!!!!!!!!!!!!!!!!!
OpenStudy (anonymous):
why did you have to take the ball out to see that?
OpenStudy (anonymous):
the diameter can also be vertical
OpenStudy (anonymous):
well
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OpenStudy (anonymous):
I was only thinking horizontally...
OpenStudy (anonymous):
good job luisz....:)
OpenStudy (anonymous):
so the answer is
OpenStudy (anonymous):
so you got radius and you got height.... plug that into the formula....
OpenStudy (anonymous):
I got
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OpenStudy (anonymous):
6280
OpenStudy (anonymous):
that wasn't too bad
OpenStudy (anonymous):
k
OpenStudy (anonymous):
naw.....
OpenStudy (anonymous):
next problem
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