document.write( "Question 154402: I need to find the surface area of a christmas tree I made for my summer project. The cone shape is 22 inches tall and has a diameter of 7.5 inches. There is also a base for the cone shape. I also have a cylinder shape for the tree trunk wich is 3 inches in diameter and 5 inches in height. Please show me the calculations. I am using 2TTR(R+H) for both shapes but I do not think it is right and then I am not sure how to do the base of the cone. \n" ); document.write( "
Algebra.Com's Answer #113709 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! I need to find the surface area of a Christmas tree I made for my summer project. The cone shape is 22 inches tall and has a diameter of 7.5 inches. There is also a base for the cone shape. I also have a cylinder shape for the tree trunk which is 3 inches in diameter and 5 inches in height. Please show me the calculations. I am using 2TTR(R+H) for both shapes but I do not think it is right and then I am not sure how to do the base of the cone. \n" ); document.write( ": \n" ); document.write( "First just find the surface area of the cone \n" ); document.write( "The formula for that: SA = \n" ); document.write( ": \n" ); document.write( "In your problem r = 3.75 (half the diameter), \n" ); document.write( ": \n" ); document.write( "l is the slanted distance of the cone, \n" ); document.write( "that will be the hypotenuse of a triangle formed by r and h \n" ); document.write( "l = \n" ); document.write( "l = 22.3173 inches \n" ); document.write( "; \n" ); document.write( "SA = \n" ); document.write( "SA = 44.1786 + 262.9195 \n" ); document.write( "SA = 307.0981 sq inches \n" ); document.write( ": \n" ); document.write( "Add the trunk: \n" ); document.write( "Trunk = \n" ); document.write( "Trunk = 47.1239 \n" ); document.write( ": \n" ); document.write( "Total; 307.0981 + 47.1239 = 354.222 sq/in (this includes the circular surface area of the bottom of the trunk)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |