Answer: 80.0 cm^2
Explanation:
We need to assume that the shape of the model is a cone or pyramid, something that tapers linearly to a point. Then its volume is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height. Filling in the given numbers, we have ...
586.7 = (1/3)B(22)
Dividing by the coefficient of B gives ...
B = 3(586.7)/22 = 80.0 . . . cm^2
The area of the base of the model is about 80.0 cm^2.