SOLUTION: The totel surface area of a cylinder og height H, and base radius R, is treble that of another cylinder of the same radius R ut of height h. Prove that {{{R=(H-3h)/2}}}

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Question 177916: The totel surface area of a cylinder og height H, and base radius R, is treble that of another cylinder of the same radius R ut of height h. Prove that

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
--->remember r=R
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in order for these 2 equations to be equal we have to multiply the smaller Volume by 3
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factoring on left and on the right
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divided both sides by
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distributed left side
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subtracted R and 3h from both sides
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....divided both sides by 2

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