anonymous
  • anonymous
MEDAL AND FAN PLEASE HELP 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? (5 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Preetha @pooja195
Mindblast3r
  • Mindblast3r
all you need to to is find the both of the cylinder volumes.
Mindblast3r
  • Mindblast3r
then divide the first cylinder by the second one, that will give you a number, you then turn that number into a percentage.

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More answers

anonymous
  • anonymous
im totally lost here can you tell me how to find the volumes and stuff
Mindblast3r
  • Mindblast3r
ok
anonymous
  • 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.
Mindblast3r
  • Mindblast3r
\[V=\pi r^2h\]
mathstudent55
  • mathstudent55
Since you were given the volume of cylinder B in terms of pi, calculate the volume of cylinder A also in terms of pi.
Mindblast3r
  • Mindblast3r
\[V=\pi(7)^2(5)=245inches^3\]
Mindblast3r
  • Mindblast3r
\[Cylinder B = 490\pi\]
anonymous
  • anonymous
so what would be my final answer? @Mindblast3r
mathstudent55
  • mathstudent55
\(\Large V_B = 490 \pi~in.^3\) \(\Large V_A = \pi r^2 h = \pi (7~in.)^2(5 ~in.) = 245 \pi ~in.^3\)
anonymous
  • anonymous
what do i do after? @mathstudent55
mathstudent55
  • mathstudent55
Since both volumes are shown in terms of pi, and you are interested in the percent difference, you can drop pi from both. What is the percent change from 245 to 490?
Mindblast3r
  • Mindblast3r
\(\color{blue}{\text{Originally Posted by}}\) @Mindblast3r \[\frac{ CylinderA }{ CylinderB }=\frac{ 245\pi }{ 490\pi }=0.5=50percent\] \(\color{blue}{\text{End of Quote}}\)
anonymous
  • anonymous
Thank you!!! @Mindblast3r
anonymous
  • anonymous
I got it thank you both @mathstudent55 @Mindblast3r
mathstudent55
  • mathstudent55
@Mindblast3r You need to read the question carefully and make sure you answer the question.
Mindblast3r
  • Mindblast3r
wait i think
anonymous
  • anonymous
It would be A right?
mathstudent55
  • mathstudent55
The answer is not 50%
Mindblast3r
  • Mindblast3r
oops no wait.
anonymous
  • anonymous
oh lol never mind
mathstudent55
  • mathstudent55
\(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\)
anonymous
  • anonymous
Which is it theN? @mathstudent55
mathstudent55
  • mathstudent55
Use the formula above to find a percent change. Use 245 as the old amount and 490 as the new amount.
anonymous
  • anonymous
Its D right????? @mathstudent55
anonymous
  • anonymous
100 percent
mathstudent55
  • mathstudent55
\(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\) \(percent~change = \dfrac{490 - 245}{245} \times 100\) \(percent~change = \dfrac{245}{245} \times 100\) \(percent~change = 1 \times 100\) percent change = 100%
anonymous
  • anonymous
THANK YOUUUU
mathstudent55
  • mathstudent55
Correct. The answer is that cylinder B is 100% bigger than cylinder A.
anonymous
  • anonymous
Can you help me with another one? please @mathstudent55
mathstudent55
  • mathstudent55
@Mindblast3r Percent change is based on the formula I wrote above. Percent comparisons are tricky. If the question were "what percent of cylinder B's volume is cylinder A?" Then the answer would be 50%. The way the question was asked, though, it requires an answer of 100%. This is why you need to read the problem carefully bec with he given info, the answer could be 50% or 100% or other numbers depending on which way the question is asked.
mathstudent55
  • mathstudent55
Sorry, it very late for me. GTG
Mindblast3r
  • Mindblast3r
ahh i see what they did.

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