document.write( "Question 138963: A scoop of ice cream has a diameter of 4.2 cm. It is placed in a cone with a diameter of 4 cm. and a height of 6 cm. If the ice cream melts into the cone, will it overflow the cone? \n" ); document.write( "
Algebra.Com's Answer #101391 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
The volume of a sphere is \"%284%2F3%29pi%2Ar%5E3\", so the volume of the scoop of ice cream, presuming a VERY TIDY person serving the ice cream who invariably makes his/her ice cream scoops into absolutely perfect spheres, is \"%284%2F3%29pi%2A2.1%5E3\" (If the diameter is 4.2, the radius must be 2.1). The volume of a right circular cone is 1/3 that of a right circular cylinder with the same base radius and height, so \"%28pi%2Ar%5E2h%29%2F3\". For the given cone: \"%28pi%2A2%5E2%2A6%29%2F3=pi%2A2%5E2%2A2=pi%2A2%5E3\". Don't forget to take some napkins. \n" ); document.write( "
\n" );