document.write( "Question 347857: A bakery sells single layer mini-cakes that are 3 inches in diameter for $4 each. They also have a 9-inch cake for $15. If both cakes are the same thickness, which option gives you more cake for the money, nine mini-cakes or one 9-inch cake? \n" ); document.write( "
Algebra.Com's Answer #248726 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A bakery sells single layer mini-cakes that are 3 inches in diameter for $4 each. They also have a 9-inch cake for $15. If both cakes are the same thickness, which option gives you more cake for the money, nine mini-cakes or one 9-inch cake? \n" ); document.write( ". \n" ); document.write( "Volume of cake = r^2(pi) \n" ); document.write( "Let t = thickness \n" ); document.write( "volume of mini-cake = (1.5)^2(3.14)t = 7.065t \n" ); document.write( "Since there are nine mini-cake, total volume is: 9(7.065t) = 63.585t \n" ); document.write( ". \n" ); document.write( "volume of 9-inch cake = 3^2(3.14)t = 28.26t \n" ); document.write( ". \n" ); document.write( "Relate volume per cost: \n" ); document.write( "mini-cake:63.585t/12 = 5.29875t (vol per dollar) \n" ); document.write( "9-inch cake: 28.26t/15 = 1.884t (vol per dollar) \n" ); document.write( ". \n" ); document.write( "Answer:mini-cake gives MORE volume per dollar \n" ); document.write( " |