Paper Umbrella

To decorate the glasses with ice cream John make paper umbrellas on the following model: The umbrella is shaped like a pyramid whose base is a regular hexagon with the side length of 5cm. The 6 side faces of the pyramid are congruent isosceles triangles. The edges from the top of the pyramid are 6 cm.
1. Make the umbrella pattern (of the side faces of the pyramid) and calculate the the height of the pyramid formed. 2. Calculate the volume of the regular hexagonal pyramid. Define the function that describes the volume relative to height dependence knowing that the basis remains the same.