document.write( "Question 187227This question is from textbook Mathematics For Elementary Teachers
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document.write( ": A right circular cylinder has a surface are of 112 pie. If the height of the cylinder is 10, find the diameter of the base?
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document.write( "When trying to solve this problem I am aware of the surface area of a right circular cylinder S = 2A+Ch but I am not sure how to find the unknown diameter so that I could then find my circumference and area of the cicrle in the cylinder. If you could help me on this problem it would be greatly appreciated. Thanks
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Algebra.Com's Answer #155743 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A right circular cylinder has a surface are of 112 pie. If the height of the cylinder is 10, find the diameter of the base? \n" ); document.write( "When trying to solve this problem I am aware of the surface area of a right circular cylinder S = 2A+Ch but I am not sure how to find the unknown diameter so that I could then find my circumference and area of the cicrle in the cylinder. \n" ); document.write( "----------- \n" ); document.write( "Area = 2pi*r*h + 2pi*r^2 \n" ); document.write( "112pi = 2pi*r*h + 2pi*r^2 \n" ); document.write( "56 = rh + r^2 \n" ); document.write( "r^2 + 10h - 56 = 0 \n" ); document.write( "(r+14)*(r-4) = 0 \n" ); document.write( "r = 4 \n" ); document.write( "dia = 8 \n" ); document.write( "-------- \n" ); document.write( "Notice it's pi, the Greek letter, not pie, the dessert. \n" ); document.write( " |