141k views
5 votes
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.

2 Answers

3 votes

Answer: I'm checking it right now and that person is right it 80.0 cm^2

Explanation:

User Hustnzj
by
5.8k points
4 votes

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.

User Mako
by
6.3k points