document.write( "Question 945791: Hello,
\n" ); document.write( "I have a bit more information on my barrel question. 228lts approx 60gal.
\n" ); document.write( "Barrel Height = 89cm Thickness of the barrel is 25mm
\n" ); document.write( "Belly Dia. = 71cm Circ.= 223cm
\n" ); document.write( "Top & Bottom Dia. = 58cm Circ. = 182cm
\n" ); document.write( "Question 1- What is the internal surface area?
\n" ); document.write( "Question 2- What is the surface area of liquid in contact with the surface of the inside of the barrel?
\n" ); document.write( "I need to be able to work out the equivalent area for a 1lt jar with a piece of wood in it to have the same ratio as the liquid in the barrel.
\n" ); document.write( "I hope there is enough information this time.\r
\n" ); document.write( "\n" ); document.write( "Many thanks.\r
\n" ); document.write( "\n" ); document.write( "Ian.
\n" ); document.write( "

Algebra.Com's Answer #576949 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
I have a bit more information on my barrel question. 228lts approx 60gal.
\n" ); document.write( "Barrel Height = 89cm Thickness of the barrel is 25mm
\n" ); document.write( "Belly Dia. = 71cm Circ.= 223cm
\n" ); document.write( "Top & Bottom Dia. = 58cm Circ. = 182cm
\n" ); document.write( "Question 1- What is the internal surface area?
\n" ); document.write( "----
\n" ); document.write( "The belly diameter is only 13 cm more than the top and bottom, so using the average for the diameter will cause a small difference.
\n" ); document.write( "(58 + 71)/2 = 64.5 cm avg diameter
\n" ); document.write( "--> Outside dimensions: r = 32.25 cm
\n" ); document.write( "h = 89 cm
\n" ); document.write( "------
\n" ); document.write( "Inside dimensions: r = 32 cm, h = 88.5 cm
\n" ); document.write( "Inside SA = \"pi%2Ar%5E2+%2B+pi%2Ar%5E2+%2B+2pi%2Ar%2Ah\" (bottom, top & sides)
\n" ); document.write( "= \"2%2Api%2A1024+%2B+2%2Api%2A32%2A88.5+=+pi%2A%282048+%2B+5664%29+=+7712%2Api\" sq cm
\n" ); document.write( "=~ 24228 sq cm
\n" ); document.write( "==========================\r
\n" ); document.write( "\n" ); document.write( "Question 2- What is the surface area of liquid in contact with the surface of the inside of the barrel?
\n" ); document.write( "If it's full, it's the same as above, 24228 sq cm.
\n" ); document.write( "===========================\r
\n" ); document.write( "\n" ); document.write( "I need to be able to work out the equivalent area for a 1lt jar with a piece of wood in it to have the same ratio as the liquid in the barrel.
\n" ); document.write( "====================
\n" ); document.write( "24228 sq cm/228 liters --> 106 sq cm per liter
\n" ); document.write( "
\n" );