document.write( "Question 1065016: A solid metallic sphere of diameter 28 cm is melted and number of cones formed by the diameter 4 2/3 cm and height 3 cm .find the no. Of cones formed .......
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Algebra.Com's Answer #680152 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Radius = diameter/2 = 28/2 = 14 \n" ); document.write( "Volume of the sphere: \n" ); document.write( "4/3(Pi*r^3) = Volume \n" ); document.write( "4/3(Pi*14^3) = 11,494 This is how much material you have to form cones \n" ); document.write( "------------------------------------- \n" ); document.write( "Volume of a cone: \n" ); document.write( "1/3(B*h) B: base and h: height. Since the base is Pi*r^2, we can re-write: \n" ); document.write( "1/3((Pi*r^2)h) \n" ); document.write( "1/3((Pi*14^2)3) = 615.75 \n" ); document.write( "--------------------------------------- \n" ); document.write( "11,494/615.75 = 18.667 \n" ); document.write( "You can make 18 cones and have some left over, 0.667 which is enough for 2/3 of a cone. \n" ); document.write( " |