An ice cream cone is filled with ice cream and surmounted ice cream in the form of a hemisphere on top of the cone. If the hemispherical surface is equal to the lateral area of the cone, find the total volume (in cubic inches) of ice cream if the radius of the hemisphere is 1 inch and assuming the diameter of hemisphere is equal to the diameter of the cone.
The total volume of ice cream if the radius of the hemisphere is 1 inch is 3.91 cu. in.
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