document.write( "Question 284724: The radius of a cylinder is increased by 40%, but the height is cut in half.
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document.write( "What is the resulting change in volume?\r
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document.write( "A.2% decrease B. 30% decrease C. 30% increase D. 2% increase
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Algebra.Com's Answer #206562 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The radius of a cylinder is increased by 40%, but the height is cut in half. \n" ); document.write( "What is the resulting change in volume?\r \n" ); document.write( "\n" ); document.write( "A.2% decrease B. 30% decrease C. 30% increase D. 2% increase \n" ); document.write( "-------------------- \n" ); document.write( " \n" ); document.write( "The radius is multiplied by 1.4. The radius in the formula is squared, so the volume is multiplied by 1.4^2 = 1.96 \n" ); document.write( "----------------- \n" ); document.write( "The height is multiplied by 0.5, and it's to the first power, so the volume is directly related to h. \n" ); document.write( "-------------- \n" ); document.write( "Volume is multiplied by 1.96*0.5 = 0.98 \n" ); document.write( "That's a 2% reduction \n" ); document.write( "A \n" ); document.write( "--------- \n" ); document.write( "Another tutor got the same numbers, but used the \"after\" volume as a reference. The original volume should be used as the reference. \n" ); document.write( " |