Estimating Mount Fuji's Volume

Estimating Mount Fuji's Volume

Assessment

Interactive Video

Physics

10th - 12th Grade

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explores two methods for estimating the volume of Mount Fuji: a best-fit function approach and a discrete sum approach. It discusses the profile and trails of Mount Fuji, derives functions for integration, and calculates the volume using definite integration. The results show a significant difference between the estimated volume and previous estimates using a cone model. The tutorial concludes with a comparison of the methods, highlighting the challenges in obtaining accurate volume estimates for stratovolcanoes.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two approaches mentioned for estimating the volume of Mount Fuji?

Best-fit function and satellite imaging

Discrete approach and visual estimation

Best-fit function and discrete approach

Visual estimation and satellite imaging

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trails are mentioned as coming up from the south of Mount Fuji?

Fujinomiya and Eco Timba trails

Hiking and Climbing trails

North and South trails

Yoshida and Super Shiri trails

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What natural event is associated with the area down from Mount Fuji?

1900 landslide

1707 eruption

1800 earthquake

2000 flood

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical method is used to estimate the volume of Mount Fuji?

Integration of circular slices

Differentiation of slopes

Multiplication of base areas

Addition of height segments

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derived function for R squared in terms of elevation?

600.25 / (1 + h^3.00)

809.14 / (1 + h^3.94)

900.00 / (1 + h^2.00)

700.50 / (1 + h^4.00)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the volume estimate obtained using the best-fit function?

485 cubic kilometers

700 cubic kilometers

600 cubic kilometers

800 cubic kilometers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the discrete sum approach handle irregularities in the curve?

By using a fixed Delta H

By adjusting Delta H values

By ignoring them

By averaging the values

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