When it melts, will the cone hold all the ice cream?

Question

The height of the ice cream cone is 5 inches tall as shown. The radius of the cone is 3 inches. A perfect sphere of ice cream of radius 3 inches is placed on the cone. When it melts, will the cone hold all the ice cream? Show all work. 

 

 

 

Answer 1

V_cone = (πr²h) / 3 

V_cone = (9π5) / 3

V_cone = 15π / 3

 

V_sphere = 4πr² / 3

V_sphere = 36π / 3

 

Can the cone hold all of the ice cream?