document.write( "Question 198114: The radius of a can soup is 2 in. and the height is 7 in.
\n" );
document.write( "If the radius of the can is cut in half and the height is doubled, what effect will this have on the amount of soup in the can? Provide a mathematical explanation of your answer. \n" );
document.write( "
Algebra.Com's Answer #148580 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Remember,, VOLUME is Area of base * Height \n" ); document.write( ". \n" ); document.write( "V1 = pi * r^2 * h \n" ); document.write( ". \n" ); document.write( "V2 = pi *(r/2)^2 * (2h) = pi * r^2 / 4 * 2h = (pi * r^2 *h) * (1/2) = (1/2) * V1 \n" ); document.write( ". \n" ); document.write( "numerically,,, V1 = pi * 2^2 * 7 = 97.96 = 88 \n" ); document.write( ". \n" ); document.write( "V2 = pi * (2/2)^2 * (2)(7) = pi *1^2 *14 = 43.98 = 44 \n" ); document.write( ". \n" ); document.write( " |