Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B?
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OpenStudy (anonymous):
Cylinder B is 50% smaller than cylinder A.
Cylinder B is 25% smaller than cylinder A.
Cylinder B is 150% bigger than cylinder A.
Cylinder B is 200% bigger than cylinder A.
OpenStudy (anonymous):
@dan815 @mathstudent55 @Nurali
OpenStudy (anonymous):
@CrashOnce pls help!
OpenStudy (crashonce):
ok
OpenStudy (anonymous):
cool!
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OpenStudy (crashonce):
so first we need the volume of the first cylinder and use the volume of a cylinder formula : (pi x r^2) x height
OpenStudy (crashonce):
so what does that give you
OpenStudy (anonymous):
Yup!
OpenStudy (anonymous):
pi x r^2 idk could you help a little more ill BRB
OpenStudy (crashonce):
pi r^2 = pi times square of the radius
so it should be (with the height)
pi x 12^2 x 6
=144x6 pi
=864 pi
do you follow?
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OpenStudy (anonymous):
ok back
OpenStudy (anonymous):
ok so pi x 12^2 x 6 is the problem tight
OpenStudy (anonymous):
@CrashOnce ?
OpenStudy (crashonce):
that is the volume of cylinder A
OpenStudy (crashonce):
Now you have to compare it to the volume of cylinder B
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OpenStudy (anonymous):
its 37.68
OpenStudy (crashonce):
no
OpenStudy (crashonce):
the difference
OpenStudy (anonymous):
atualy got 8,518.69
OpenStudy (crashonce):
so you get the value of cylinder A minus cylinder B
what is that?
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OpenStudy (anonymous):
pi x 12^2 x 6 <-- when i did this
OpenStudy (anonymous):
so 100%? for A
OpenStudy (crashonce):
keep it in pi form
OpenStudy (crashonce):
no
OpenStudy (crashonce):
whats 864-648
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OpenStudy (anonymous):
hum well ill try it again
OpenStudy (anonymous):
its 216 so 200%
OpenStudy (crashonce):
wait dont rush
OpenStudy (anonymous):
kk
OpenStudy (crashonce):
we are finding the decrease so you have to divide the difference (216) by the larger volume (a) or 864
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OpenStudy (crashonce):
so do 216/864
OpenStudy (anonymous):
ok so i got .25
OpenStudy (crashonce):
yup B
OpenStudy (crashonce):
because .25 is basically 25%
OpenStudy (anonymous):
nice so 25%!
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