A cylindrical aluminum can is being constructed to have a height h of 6 inches. If the can is to have a volume of 18 cubic inches, approximate its radius r. (Hint: The radius of the can is about inches. (Type an integer or decimal rounded to two decimal places as needed.)
A cylindrical aluminum can is being constructed to have a height h of 6 inches. If the can is to have a volume of 18 cubic inches, approximate its radius r. (Hint: The radius of the can is about inches. (Type an integer or decimal rounded to two decimal places as needed.)
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
What would the radius of the can be?
![### Problem Description
A cylindrical aluminum can is being constructed to have a height \( h \) of 6 inches. If the can is to have a volume of 18 cubic inches, approximate its radius \( r \). (Hint: \( V = \pi r^2 h \))
**Task**:
Determine the radius of the can in inches.
(Type an integer or decimal rounded to two decimal places as needed.)
### Instructions
- Enter your answer in the answer box and then click Check Answer.
### Additional Features
- The interactive platform allows you to type your answer and use the “Check Answer” button to verify its accuracy.
- A progress bar indicates how many parts of the problem are showing or completed.
### Concept Explanation
For a cylinder, the volume \( V \) is calculated using the formula:
\[ V = \pi r^2 h \]
Substituting the given values:
\[ 18 = \pi r^2 \times 6 \]
Solve this equation for \( r \) to find the approximate radius of the can.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb95e33bb-c8fe-4d5f-9d28-351192aa0ecf%2F71dda2e4-ee66-4e65-a132-072d7d00fa5a%2Fe8hbwlb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
A cylindrical aluminum can is being constructed to have a height \( h \) of 6 inches. If the can is to have a volume of 18 cubic inches, approximate its radius \( r \). (Hint: \( V = \pi r^2 h \))
**Task**:
Determine the radius of the can in inches.
(Type an integer or decimal rounded to two decimal places as needed.)
### Instructions
- Enter your answer in the answer box and then click Check Answer.
### Additional Features
- The interactive platform allows you to type your answer and use the “Check Answer” button to verify its accuracy.
- A progress bar indicates how many parts of the problem are showing or completed.
### Concept Explanation
For a cylinder, the volume \( V \) is calculated using the formula:
\[ V = \pi r^2 h \]
Substituting the given values:
\[ 18 = \pi r^2 \times 6 \]
Solve this equation for \( r \) to find the approximate radius of the can.
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