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anonymous

  • one year ago

The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth.

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  1. anonymous
    • one year ago
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    A. small cylinder: 152.00 m3 large cylinder: 950.02 m3 B. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 C. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 D. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3

  2. anonymous
    • one year ago
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    Please hurry

  3. hartnn
    • one year ago
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    Surface area is proportional to square of the dimensions (radius and height). where as Volume is proportional to cube of dimensions!

  4. hartnn
    • one year ago
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    so lets show how we came upto that larger radius R = kr (k is constant, r is smaller radius) larger Height H = kh, h= smaller height. now Ratio of surface area = large surface area/ smaller surface area. = 2piR (R+h) / 2pi r (r+h) = kr(kr+kh)/(r(r+h)) = k^2 and this is given to be 9/1.44 k^2 = 9/1.44, so first find the value of k!

  5. anonymous
    • one year ago
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    I am so confused.. im sorry i have no idea how to do this

  6. anonymous
    • one year ago
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    What is k?

  7. hartnn
    • one year ago
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    k is the constant of proportionality . since the cylinders are similar, their sides will be proportional that why i could take R/r = k k is some constant

  8. hartnn
    • one year ago
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    and H/h = k

  9. hartnn
    • one year ago
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    once we find k, we can find the ratio of volumes! larger volume/ smaller volume = pi R^2 * H / pi r^2 * h = k^2 r^2 (kh) / r^2 h = k^3 so ratio of volume is just k^3 !

  10. anonymous
    • one year ago
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    is K 2.5

  11. anonymous
    • one year ago
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    ?

  12. hartnn
    • one year ago
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    yep, thats correct :)

  13. anonymous
    • one year ago
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    The answer is D. Get it over with.

  14. anonymous
    • one year ago
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    hahaha well thanks!

  15. anonymous
    • one year ago
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    You take 9/1.44 square root it then cube it (to find the constant so to speak) then you divide all the given values to see which one fits the constant. Move on!

  16. hartnn
    • one year ago
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    so Jack, you say the volume ratio for D is 15.625 ?? can you double check? :P

  17. anonymous
    • one year ago
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    The answer isnt d than?

  18. hartnn
    • one year ago
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    as we found that volume of ratio is k^3 which is 2.5^3 = 15.625 now you just check volume ratio for each option and the one which gives you 15.625 is your answer :)

  19. hartnn
    • one year ago
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    ratio of volume** not volume of ratio :P

  20. anonymous
    • one year ago
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    Oh damn I meant C

  21. anonymous
    • one year ago
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    sorry. Sloppy reading.

  22. hartnn
    • one year ago
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    I am sure you meant C :)

  23. anonymous
    • one year ago
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    I read it off wrong (hang's himself)

  24. hartnn
    • one year ago
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    because your method was correct :)

  25. hartnn
    • one year ago
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    karissa, what is the volume ratio of option C?? is it 15.625??

  26. anonymous
    • one year ago
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    yeah I checked...

  27. hartnn
    • one year ago
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    let her check lol its her question !

  28. anonymous
    • one year ago
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    If she was at all committed to the question, she'd go to a quiet area with 20 text books and lock herself from human civilisation to come up with the answer and on the way perhaps prove fermat's last theorem.

  29. hartnn
    • one year ago
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    oh well.... true that!

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