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Mathematics 20 Online
OpenStudy (anonymous):

Could someone help me understand this question? I got 150% bigger and that isn't a choice option Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percent change in volume between cylinders A and B? Cylinder B is 50% smaller than cylinder A. Cylinder B is 75% smaller than cylinder A. Cylinder B is 50% bigger than cylinder A. Cylinder B is 200% bigger than cylinder A.

OpenStudy (anonymous):

What are the volumes of A and B? Did you find that already?

OpenStudy (anonymous):

The volume of A is 1570 and the volume of B is 2355

OpenStudy (anonymous):

1570/2355= .66666666

OpenStudy (anonymous):

oh hold on, scratch that the first step you must do is find the difference between the two cylinders

OpenStudy (anonymous):

what's 750 pi - 500 pi?

OpenStudy (anonymous):

ok :) the difference is 785

OpenStudy (anonymous):

or 250 pi

OpenStudy (anonymous):

Now that set 250pi/500 pi, the difference of volume is 1/2 or 50 percent of volume A

OpenStudy (anonymous):

so cylinder B is 50% larger than cylinder A...right?

zepdrix (zepdrix):

Jane jane jane, you have the right idea with 150%. Cylinder B's volume is 150% the size of Cylinder A's. Or in other words, 50% larger. 100% the same, and 50% MORE.

OpenStudy (anonymous):

and it's not on there, so let's look at another way The raio of the two volumes is 750pi/500 pi = 1.5

OpenStudy (anonymous):

so cylinder B is 150% more than cylinder A

OpenStudy (anonymous):

but thats not an answer choice :(

zepdrix (zepdrix):

Cylinder B is 150% of cylinder A, or Cylinder B is Cylinder A + 50% MORE. yes? Doesn't that sound like option C maybe? c:

OpenStudy (anonymous):

Yep option C :)

OpenStudy (anonymous):

ok, thanks guys :)

OpenStudy (anonymous):

yay :) i got a 75/75!

zepdrix (zepdrix):

ooo nice job \c:/

OpenStudy (anonymous):

Wow, congrats! :))))

OpenStudy (anonymous):

Thanks for all your help \(^o^)/

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