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

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(24713) (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.
RELATED QUESTIONS
An ice cream cone has a diameter of 4.2 cm and a height of 11.5 cm. one spherical scoop... (answered by Cromlix)

An ice cream cone is 14 cm high and has a diameter of 12 cm. what is the approximate... (answered by Alan3354)

1.An Ice Cream cone has a base diameter of 8 cm and a hright of 13 cm. What is its... (answered by Alan3354)

The diameter of an ice cream scoop is 10 cm. The base area of the ice cream cone is... (answered by Alan3354)

At your favorite ice cream parlor you order a double scoop cone packed with caramel... (answered by Stitch)

A sphere of ice cream is placed on your ice cream cone. Both have a diameter of 8 cm.... (answered by Cromlix)

An ice cream cone with altitude of 15 cm and radius of 3 cm has a perfect hemisphere of... (answered by ankor@dixie-net.com)

At an ice cream parlor you order a double scoop of ice cream. The server first stuffs... (answered by mananth)

There is an ice cream cone with a big rounded scoop of ice cream with half the scoop in... (answered by KMST)