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Geometry 24 Online
OpenStudy (anonymous):

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?

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!

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?

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

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?

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

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

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%!

OpenStudy (anonymous):

thnx!

OpenStudy (crashonce):

ya np c: CO

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