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anonymous

  • one year ago

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)

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  1. anonymous
    • one year ago
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    @Preetha @pooja195

  2. mindblast3r
    • one year ago
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    all you need to to is find the both of the cylinder volumes.

  3. mindblast3r
    • one year ago
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    then divide the first cylinder by the second one, that will give you a number, you then turn that number into a percentage.

  4. anonymous
    • one year ago
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    im totally lost here can you tell me how to find the volumes and stuff

  5. mindblast3r
    • one year ago
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    ok

  6. anonymous
    • one year ago
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    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.

  7. mindblast3r
    • one year ago
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    \[V=\pi r^2h\]

  8. mathstudent55
    • one year ago
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    Since you were given the volume of cylinder B in terms of pi, calculate the volume of cylinder A also in terms of pi.

  9. mindblast3r
    • one year ago
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    \[V=\pi(7)^2(5)=245inches^3\]

  10. mindblast3r
    • one year ago
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    \[Cylinder B = 490\pi\]

  11. anonymous
    • one year ago
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    so what would be my final answer? @Mindblast3r

  12. mathstudent55
    • one year ago
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    \(\Large V_B = 490 \pi~in.^3\) \(\Large V_A = \pi r^2 h = \pi (7~in.)^2(5 ~in.) = 245 \pi ~in.^3\)

  13. anonymous
    • one year ago
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    what do i do after? @mathstudent55

  14. mathstudent55
    • one year ago
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    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?

  15. mindblast3r
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @Mindblast3r \[\frac{ CylinderA }{ CylinderB }=\frac{ 245\pi }{ 490\pi }=0.5=50percent\] \(\color{blue}{\text{End of Quote}}\)

  16. anonymous
    • one year ago
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    Thank you!!! @Mindblast3r

  17. anonymous
    • one year ago
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    I got it thank you both @mathstudent55 @Mindblast3r

  18. mathstudent55
    • one year ago
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    @Mindblast3r You need to read the question carefully and make sure you answer the question.

  19. mindblast3r
    • one year ago
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    wait i think

  20. anonymous
    • one year ago
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    It would be A right?

  21. mathstudent55
    • one year ago
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    The answer is not 50%

  22. mindblast3r
    • one year ago
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    oops no wait.

  23. anonymous
    • one year ago
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    oh lol never mind

  24. mathstudent55
    • one year ago
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    \(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\)

  25. anonymous
    • one year ago
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    Which is it theN? @mathstudent55

  26. mathstudent55
    • one year ago
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    Use the formula above to find a percent change. Use 245 as the old amount and 490 as the new amount.

  27. anonymous
    • one year ago
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    Its D right????? @mathstudent55

  28. anonymous
    • one year ago
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    100 percent

  29. mathstudent55
    • one year ago
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    \(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\) \(percent~change = \dfrac{490 - 245}{245} \times 100\) \(percent~change = \dfrac{245}{245} \times 100\) \(percent~change = 1 \times 100\) percent change = 100%

  30. anonymous
    • one year ago
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    THANK YOUUUU

  31. mathstudent55
    • one year ago
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    Correct. The answer is that cylinder B is 100% bigger than cylinder A.

  32. anonymous
    • one year ago
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    Can you help me with another one? please @mathstudent55

  33. mathstudent55
    • one year ago
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    @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.

  34. mathstudent55
    • one year ago
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    Sorry, it very late for me. GTG

  35. mindblast3r
    • one year ago
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    ahh i see what they did.

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