document.write( "Question 855202: A sphere has a surface area of 200 square centimeters. Which choice is the best approximation of its diameter? Use 3.14 to approximate pi. \n" ); document.write( "
Algebra.Com's Answer #515137 by Theo(13342)![]() ![]() You can put this solution on YOUR website! pi = 3.14 \n" ); document.write( "surface area = 200 square cm. \n" ); document.write( "formula for surface area of a sphere is: \n" ); document.write( "sa = 4*pi*r^2 \n" ); document.write( "replace variables with what you know to get: \n" ); document.write( "200 = 4*3.16*r^2 \n" ); document.write( "simplify to get: \n" ); document.write( "200 = 12.56*r^2 \n" ); document.write( "divide both sides of this equation by 12.56 to get \n" ); document.write( "200/12.56 = r^2 \n" ); document.write( "simplify to get: \n" ); document.write( "15.92356688 = r^2 \n" ); document.write( "take the square root of both sides of this equation to get: \n" ); document.write( "3.990434422 \n" ); document.write( "since diameter is equal to 2 times the radius, you get: \n" ); document.write( "d = 2*r = 7.980868845 \n" ); document.write( "your answer will be either: \n" ); document.write( "8 or 8.0 or 7.98 or 7.981 or 7.9809 \n" ); document.write( "depending on how many decimal places the selection have been rounded to. \n" ); document.write( " \n" ); document.write( " |