A model of a volcano that is 22 cm tall with a volume of 586.7 cubic centimeters. What is the area of the base of the model? Round the answer to the nearest tenth.

  80.0 cm^2

Step-by-step 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.

A=2

B=1

C=0.25