A cylinder labeled X has a height of 18 inches and a radius of 21 inches. Another cylinder labeled Y has height of 90 inches and radius of 105 inches.
The volume of cylinder Y is _______ times the volume of cylinder X
@Hero
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OpenStudy (anonymous):
@dpaInc
hero (hero):
I guess the note taking techniques didn't work out for you
OpenStudy (anonymous):
I know the answer but I am not sure
hero (hero):
Hint: Apply the formula for Volume of a Cylinder
OpenStudy (anonymous):
is it 5 times bigger?
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hero (hero):
Did you apply the formula, or are you guessing?
OpenStudy (anonymous):
I applied the formula
OpenStudy (anonymous):
am i right?
OpenStudy (anonymous):
@Calcmathlete
hero (hero):
I think you were guessing rather than using the formula
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OpenStudy (anonymous):
let me redo, then
hero (hero):
2nd Hint: \[\frac{\text{Volume of Y}}{\text{Volume of X}}\]
OpenStudy (anonymous):
v=pi*r^2*h
v=3.14*21^2*18
v=24925.32
hero (hero):
\[\frac{\pi (105)^2 90}{\pi (21)^2 18}\]
hero (hero):
Simplify that
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OpenStudy (anonymous):
v=pi*r^2*h
v=3.14*105^2*90
v=3115665
OpenStudy (anonymous):
=125 times
hero (hero):
There we go
OpenStudy (anonymous):
so its really 125 times bigger?
hero (hero):
I know this comes as a surprise to you, but yes
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OpenStudy (anonymous):
ok got it, I could have used the ratio formula as well! thanx so much!