document.write( "Question 117698: Pls Hellp!! : The volume of a solid cylinder is 270cm^3 and its curved surface area is 135cm^2. Find the radius of the cylinder.
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document.write( "(use pi-22/7) \n" );
document.write( "
Algebra.Com's Answer #85913 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The volume of a solid cylinder is 270cm^3 and its curved surface area is 135cm^2. Find the radius of the cylinder. \n" ); document.write( "(use pi-22/7) \n" ); document.write( ": \n" ); document.write( "Curved surface: \n" ); document.write( "2*pi*h = 135 \n" ); document.write( ": \n" ); document.write( "135 is half of 270, therefore: \n" ); document.write( "Vol = twice curved area \n" ); document.write( "pi*r^2*h = 2(2*pi*r*h) \n" ); document.write( "pi*r^2*h = 4*pi*r*h \n" ); document.write( ": \n" ); document.write( "Divide both sides by pi*r*h \n" ); document.write( "r = 4 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "To verify solution find h, using curved area equation \n" ); document.write( "2*(22/7)*4*h = 135 \n" ); document.write( "(176/7)h = 135 \n" ); document.write( ": \n" ); document.write( "Multiply equation by 7 \n" ); document.write( "176h = 945 \n" ); document.write( "h - 945/176 \n" ); document.write( "h = 5.37 \n" ); document.write( "Find the volume \n" ); document.write( "pi*16*5.37 = 269.89 ~ 270 \n" ); document.write( " |