document.write( "Question 970701: If the surface area of a shere is increased by 44%,find the percentage increase in its diameter. \n" ); document.write( "
Algebra.Com's Answer #593319 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Area = 4 pi *r^2 \n" ); document.write( "1.44 area=4 pi *R^2 \n" ); document.write( "Ratio of second to first \n" ); document.write( "1.44= (R/r)^2, where R is the new radius.\r \n" ); document.write( "\n" ); document.write( "1.44 r^2+ R^2\r \n" ); document.write( "\n" ); document.write( "Take the square root of both sides\r \n" ); document.write( "\n" ); document.write( "1.2 r=R \n" ); document.write( "Diameter=2r=2.4, but it is still a 20% increase, since radius and diameter are linearly related.\r \n" ); document.write( "\n" ); document.write( "Percentage of increase of diameter is 20%\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |