# SOLUTION: 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 con

Algebra ->  Algebra  -> Volume -> SOLUTION: 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 con      Log On

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 Geometry: Volume, Metric volume Solvers Lessons Answers archive Quiz In Depth

 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?Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website!The volume of a sphere is , 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 (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 . For the given cone: . Don't forget to take some napkins.