document.write( "Question 1102264: Find the volume of a right circular cylinder with volume 1000 cm^3 and surface area 600 cm^2. \n" ); document.write( "
Algebra.Com's Answer #716916 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find the volume of a right circular cylinder with volume 1000 cm^3 and surface area 600 cm^2. \n" ); document.write( "------------ \n" ); document.write( "Volume = 1000 cubic cm. \n" ); document.write( "Assuming there's no wall thickness, and that 600 cm^2 is the lateral area, not including the ends: \n" ); document.write( "-------- \n" ); document.write( "Vol = pi*r^2*h = 1000 \n" ); document.write( "Area = 2pi*r*h = 600 \n" ); document.write( "---- \n" ); document.write( "h = 1000/(pi*r^2) \n" ); document.write( "h = 600/2pi*r --> 300/(pi*r) \n" ); document.write( "-------------- \n" ); document.write( "1000/(pi*r^2) = 300/(pi*r) \n" ); document.write( "10/r^2 = 3/r \n" ); document.write( "10 = 3r \n" ); document.write( "r = 10/3 cm \n" ); document.write( "------------------ \n" ); document.write( "h = 300/(pi*10/3) \n" ); document.write( "h = 90/pi cm\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |