document.write( "Question 187461: Hi, I'm in geometry and I'm struggling with volume and surface area. I have a worksheet with word problems, which are not my forte. Anyways, the problem is stated exactly as follows: \"At Cakes R Us, it is possible to buy round cakes in different sizes. The smallest cake has a diameter of 8 inches and height of 4 inches and requires 3 cups of batter. Another similar round cake has a diameter of 13 inches. How much batter would this cake require?\" By the way, this problem is not in my book. It's on a worksheet my teacher gave me. Thanks so much. \n" ); document.write( "
Algebra.Com's Answer #140625 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At Cakes R Us, it is possible to buy round cakes in different sizes. The \n" ); document.write( " smallest cake has a diameter of 8 inches and height of 4 inches and requires \n" ); document.write( " 3 cups of batter. Another similar round cake has a diameter of 13 inches. \n" ); document.write( " How much batter would this cake require?\" \n" ); document.write( ": \n" ); document.write( "This would be based on the ratio of the volumes of the two cakes \n" ); document.write( "cancel out pi, and height \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Let x = amt of batter needed for the large cake \n" ); document.write( "; \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "64x = 3 * 169 \n" ); document.write( ": \n" ); document.write( "64x = 507 \n" ); document.write( ": \n" ); document.write( "x = \n" ); document.write( "x = 7.9 cups \n" ); document.write( " \n" ); document.write( " |