Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. 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 75% bigger than cylinder A.
Cylinder B is 150% smaller than cylinder A.
Cylinder B is 100% bigger than cylinder A.
OpenStudy (here_to_help15):
490pi/245pi=2*100=200
OpenStudy (here_to_help15):
245pi comes from the equation pi*r^2*h
pi*(7)^2*5
OpenStudy (anonymous):
So wait I am confused what would the answer be? @Here_to_Help15
OpenStudy (here_to_help15):
Im starting to get confused lol
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OpenStudy (here_to_help15):
@nikato help plz
OpenStudy (nikato):
@EmmaDrew94 do you get how to find the volume of A
OpenStudy (anonymous):
no @nikato
OpenStudy (anonymous):
Refer to the attachment computed with Mathematica v9.
OpenStudy (nikato):
so the formula for finding the volume of a cyclinder is
\[V= (\pi r ^{2}) \times height\]
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OpenStudy (anonymous):
V= 2,415.602 @nikato
OpenStudy (nikato):
yes. but lets just leave it in terms of pi
so it'll be 245pi
OpenStudy (anonymous):
Ok. So what will be the percentage? @nikato
OpenStudy (nikato):
so B is 490 and A is 245
the difference is 245.
because A is 245 and the differnce is 245
B would be 100% bigger than A
OpenStudy (anonymous):
ok thanks @nikato
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