document.write( "Question 475691: A cardboard can with metal ends is to be constructed. The diameter of the metal ends is to be 8 inches and the height of the can is to be 5 inches. Answer the following questions by clearly showing your work. A.) How much metal, and how much cardborad is needed to construct such a can? B.) What is the capacity of the can? \n" ); document.write( "
Algebra.Com's Answer #326197 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A cardboard can with metal ends is to be constructed. The diameter of the metal ends is to be 8 inches and the height of the can is to be 5 inches. Answer the following questions by clearly showing your work. A.) How much metal, and how much cardborad is needed to construct such a can? B.) What is the capacity of the can? \n" ); document.write( "** \n" ); document.write( "A) metal needed: \n" ); document.write( "Area of one metal end=πr^2 \n" ); document.write( "r=8/2=4 \n" ); document.write( "Area of two metal ends=2π4^2=32π in^2 \n" ); document.write( "metal needed=100.53 in^2 \n" ); document.write( ".. \n" ); document.write( "Cardboard needed: \n" ); document.write( "Area=circumference*height \n" ); document.write( "Area=2πr*5=40π in^2 \n" ); document.write( "Cardboard needed=125.66 in^2 \n" ); document.write( ".. \n" ); document.write( "B) Capacity of can \n" ); document.write( "Volume=area of metal end*height \n" ); document.write( "Volume=32π*5=160π in^3 \n" ); document.write( "Capacity of can = 502.65 in^3 \n" ); document.write( " |