document.write( "Question 250300: A right circular cylinder has a surface area of 112π. If the height of the cylinder is 10 find the radius of its base. \n" ); document.write( "
Algebra.Com's Answer #185148 by Greenfinch(383)![]() ![]() You can put this solution on YOUR website! Surface area is top and bottom 2 x r^2 x pi \n" ); document.write( "side is 2 x r x h x pi \n" ); document.write( "We are told that the area is 112 x pi \n" ); document.write( "so we can remove pi from the question and get \n" ); document.write( "(2 x r^2) + (2 x r x h) = 112 \n" ); document.write( "and since h = 10 and there are factors of 2 on both sides \n" ); document.write( "r^2 + 10 x r = 56 \n" ); document.write( "0r r^2 + 10 x r - 56 = 0 \n" ); document.write( "or (r - 4)(r + 14) = 0 \n" ); document.write( "r = 4 or -14 \n" ); document.write( "As -14 isn't an option, r = 4 \n" ); document.write( " \n" ); document.write( " |