document.write( "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
\n" ); document.write( " $\"R=%28H-3h%29%2F2\"$ \n" ); document.write( "

Algebra.Com's Answer #132900 by Mathtut(3670) $\"\"$ $\"About$

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$\"V=2%28pi%29r%5E2+%2B+2%28pi%29r%2Ah\"$ --->remember r=R
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\n" ); document.write( " $\"3V=2%28pi%29R%5E2+%2B+2%28pi%29R%2AH\"$
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\n" ); document.write( "in order for these 2 equations to be equal we have to multiply the smaller Volume by 3
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\n" ); document.write( " $\"3%282%28pi%29R%5E2+%2B+2%28pi%29R%2Ah%29=%282%28pi%29R%5E2+%2B+2%28pi%29R%2AH%29\"$
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\n" ); document.write( " $\"6%28pi%29R%28R%2Bh%29=2%28pi%29R%28R%2BH%29\"$ factoring $\"6%28pi%29R\"$ on left and $\"2%28pi%29R\"$ on the right
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\n" ); document.write( " $\"3%28R%2Bh%29=R%2BH\"$ divided both sides by $\"2%28pi%29R\"$
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\n" ); document.write( " $\"3R%2B3h=R%2BH\"$ distributed left side
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\n" ); document.write( " $\"2R=H-3h\"$ subtracted R and 3h from both sides
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\n" ); document.write( " $\"highlight%28R=%28H-3h%29%2F2%29\"$ ....divided both sides by 2 \n" ); document.write( "

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