document.write( "Question 1066421: The radius of a cone is increased by a factor of 4. The height remains the same. If the volume of the original cone is 100 cm3,
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document.write( " what would be the volume of the larger cone? Remember volume of a cone in given by: V = 1/3πr2h \n" );
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Algebra.Com's Answer #681570 by Alan3354(69443) You can put this solution on YOUR website! The radius of a cone is increased by a factor of 4. The height remains the same. If the volume of the original cone is 100 cm3, \n" ); document.write( " what would be the volume of the larger cone? \n" ); document.write( "-------------- \n" ); document.write( "Vol is a function of the square of the radius. \n" ); document.write( "Vol = k*r^2 where k is the rest of the formula and is constant. \n" ); document.write( "---- \n" ); document.write( "(2r)^2 = 4r^2 \n" ); document.write( "--> 4 times the volume. \n" ); document.write( "(3r)^2 = 9r^2 \n" ); document.write( "--> 9 times the volume. \n" ); document.write( "etc \n" ); document.write( " |