A volcano in the Indian Ocean has 926 cubic kilometers of magma within its chamber underground. Further analysis reveals that the chamber itself is 8% full. How many cubic kilometers of magma are within the chamber?
A volcano in the Indian Ocean has 926 cubic kilometers of magma within its chamber underground. Further analysis reveals that the chamber itself is 8% full. How many cubic kilometers of magma are within the chamber?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Transcribed Image Text:### Problem:
A volcano in the Indian Ocean has 926 cubic kilometers of magma within its chamber underground. Further analysis reveals that the chamber itself is 8% full. How many cubic kilometers of magma are within the chamber?
### Options:
- 74.08 km³
- 201 km³
- 56.12 km³
- 27.9 km³
For educational purposes, students should solve for the actual volume of the chamber using the given data:
To find out how many cubic kilometers are within the chamber, use the formula:
Total Volume of Chamber = Volume of Magma / Percentage Full
Given:
- Volume of Magma = 926 km³
- Percentage Full = 8% = 0.08
Total Volume of Chamber = 926 km³ / 0.08 = 11,575 km³
To find the correct option:
- Multiply the Total Volume of Chamber by the Percentage Full to check the initial magma volume:
Calculated Magma Volume = 11,575 km³ * 0.08 = 926 km³ (verification)
Thus, the calculation confirms the setup and understanding of the problem, illustrating how the total chamber volume correlates with the magma volume reported.
Expert Solution
Step 1: Given detail
To find out how many cubic kilometers of magma are within the chamber, we can calculate 8% of the total volume of the chamber.
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