Mathematics Homework Solutions
Problem
#1769

A related rates calculus problem in regards to a cone.

A waffle cone has a height of 6in with a radius at the top being 1 inch.  A spherical scoop of ice cream is placed on top of the cone and melts into the cone.  At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min.  At this same time, the height of the melted ice cream in the cone is 2 inches.  How is the height of the melted ice cream in the cone changing?


Solution Summary

A waffle cone has a height of 6in with a radius at the top being 1 inch.  A spherical scoop of ice cream is placed on top of the cone and melts into the cone.  At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min.  At this same time, the height of the melted ice cream in the cone is 2 inches.  How is the height of the melted ice cream in the cone changing?

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