Question 258330
volume of a sphere is equal to 4/3 * pi * r^3


volume of a cone is equal to 1/3 * pi * r^2 * h


the cone is 6 feet high and the entire ice cream cone is 9 feet.


this means that the radius of the sphere is 3 feet.


this is also the radius of the base of the cone.


volume of the sphere is 4/3 * pi * 3^3 = 4/3 * pi * 27 = 4 * pi * 9 = 36 * pi.


take half of that to get the top half of the sphere only and you get the volume of the icream on top of the cone is equal to 18 * pi.


volume of the cone is 1/3 * pi * r^2 * h


r = 3 and h = 6


volume of the cone is 1/3 * pi * (3)^2 * 6 = 18 * pi.


volume of the ice cream cone is equal to 18 * pi + 18 * pi = 36 * pi.


36 * pi = 113.0973355 cubic feet.


click on the following link to see a picture of the cone.


<a href = "http://theo.x10hosting.com/problems/258330.jpg" target = "_blank">http://theo.x10hosting.com/problems/258330.jpg</a>