Question
A cylinder has a height of 11 feet. Its volume is
cubic feet. What is the radius of the
cylinder?
cylinder?
Ask by Herrera Ryan. in the United States
Dec 06,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The radius of the cylinder is approximately 17.0 feet.
Solution

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Bonus Knowledge
To find the radius of the cylinder, you can use the volume formula for a cylinder:
Where
is the volume,
is the radius, and
is the height. Given that
cubic feet and
feet, you can rearrange the formula to solve for the radius:
Substituting in the numbers:
Calculating that, you’ll find:
Taking the square root gives:
So, the radius of the cylinder is approximately 17 feet.
Did you know that the quintessential cylinder has been around for centuries, often referenced in ancient architecture? The Parthenon in Greece is a stunning example where cylindrical columns support the structure, showcasing both beauty and engineering prowess. These timeless designs influence modern construction, blending aesthetics with practicality!
Speaking of practical applications, this cylinder computation is highly relevant in fields like manufacturing, where cylindrical tanks are often used to store liquids. Knowing the dimensions helps engineers ensure tanks are optimized for storage efficiency, preventing overflow while maintaining safety standards.