jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model?

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.

jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model? ​

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jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model?