Question 1139809
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From the condition, you know that the ratio of surface areas is 0.64 smaller to larger.


It means that the ratio of linear dimensions of the cylinders is  {{{sqrt(0.64)}}} = 0.8  smaller to larger.


Now, you are given that the height of the larger cylinder is 200 cm.


Hence, the height of the smaller is 0.8 of it, i.e.  0.8*200 = 160 cm.   <U>ANSWER</U>
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Solved.