Finding the height of a clylindrical silo with just the volume

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Homework Help Overview

The discussion revolves around determining the height of a cylindrical silo given its volume of 1000 m³. Participants explore the relationship between the silo's dimensions, particularly focusing on the circumference and diameter.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need for additional dimensions, such as diameter or circumference, to solve for height. Some suggest writing equations for circumference and volume to relate the dimensions. Others express uncertainty about the relationships and calculations involved.

Discussion Status

The discussion is active, with participants sharing equations related to circumference and volume. There is an ongoing exploration of how to use these equations to find the height, but no consensus has been reached on the approach or solution.

Contextual Notes

Some participants reference previous problems for context, indicating that the diameter and circumference have been calculated in earlier discussions. There is an implication that access to the silo may provide additional information, but this remains unverified.

kgbwolf
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The question is find the height of a cylindrical silo that has 1000m3. I have no idea what to do.
 
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There must be some other dimension that you can get. diameter? circumference? Can you actually go to this silo?
 
on the previous problem i worked out that the same silo has a Curcumfrence of 29.5m and a diameter of 9.39 m
 
OK, you need to write down two equations then put them side by side:

one is the equation for the circumference of a circle (in terms of its radius); the next is the equation for the volume of a cylinder (also in terms of its radius, and height).

If you knew the radius if a cylinder, and its volume, could you calculate its height?
 
Chi Meson said:
OK, you need to write down two equations then put them side by side:
one is the equation for the circumference of a circle (in terms of its radius); the next is the equation for the volume of a cylinder (also in terms of its radius, and height).
If you knew the radius if a cylinder, and its volume, could you calculate its height?


I know volume is (PI)(r2)(height)
i think curcumference is (PI)(r2) divided by 2
 
The equation for circumference is (pi)d; where d is the diameter
 
Hootenanny said:
The equation for circumference is (pi)d; where d is the diameter
Also known as C = 2 (pi) (r)
 

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