SOLUTION: Larry's ice cream is installing a giant ice cone above the shop. The plans for the ice cream cone, which is constructed by connecting a hemisphere to a cone. The cone is 6 ft and

Algebra ->  Algebra  -> Volume -> SOLUTION: Larry's ice cream is installing a giant ice cone above the shop. The plans for the ice cream cone, which is constructed by connecting a hemisphere to a cone. The cone is 6 ft and      Log On

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 Question 258330: Larry's ice cream is installing a giant ice cone above the shop. The plans for the ice cream cone, which is constructed by connecting a hemisphere to a cone. The cone is 6 ft and the entire ice cream cone is 9 ft. What is the volume of the ice cream coneAnswer by Theo(3504)   (Show Source): You can put this solution on YOUR website!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. http://theo.x10hosting.com/problems/258330.jpg