PLEASE HELP WILL RATE LIFE SAVER You are to place a sphere of ice cream into a c

Question

PLEASE HELP WILL RATE LIFE SAVER You are to place a sphere of ice cream into a cone of height 1. What radius of the sphere will give you the most volume of ice cream inside the cone ( as opposed to above the cone ) for a cone with a base angle of 30 degree ? What is the volume of the ice cream inside the cone? What percent of this sphere of most volume lies inside the cone? The following steps will guide you to a solution of the problem. Derive a formula for the volume of a "truncated" sphere - or ice cream scoop. Your formula should be a function of r ( the radius of the sphere ) and b ( the distance from the bottom of the sphere to the plane of the top of the cone ) .

Explanation / Answer

In the case of this problem the distance b from thebottom of the sphere to the plane at the top of the cone is:       b =1+r(1-2(2+3)) You'll need to do some trigonometry to get that formula.

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