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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.
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. 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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1Surface area is proportional to square of the dimensions (radius and height). where as Volume is proportional to cube of dimensions!

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1so 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!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am so confused.. im sorry i have no idea how to do this

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1k 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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1once 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 !

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer is D. Get it over with.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You 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!

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1so Jack, you say the volume ratio for D is 15.625 ?? can you double check? :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer isnt d than?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1as 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 :)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1ratio of volume** not volume of ratio :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry. Sloppy reading.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1I am sure you meant C :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I read it off wrong (hang's himself)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1because your method was correct :)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1karissa, what is the volume ratio of option C?? is it 15.625??

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1let her check lol its her question !

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If 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.
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