Finding the Answer to Pi/4(d^2): Volume or Area?

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Homework Help Overview

The discussion revolves around the expression pi/4(d^2) and whether it represents volume or area, particularly in the context of a cylindrical water tank. Participants explore the implications of the expression and its relation to geometric shapes.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the meaning of the expression and whether it is intended to represent area or volume. There is confusion regarding the correct interpretation of the formula, particularly whether it is written as \(\frac{\pi}{4} d^2\) or \(\frac{\pi}{4 d^2}\). Some suggest that if d is the diameter, the expression could represent the area of a circle.

Discussion Status

Some participants have provided clarifications regarding the expression and its potential meanings, while others emphasize the need for more context to arrive at a definitive conclusion. The conversation is ongoing, with various interpretations being explored.

Contextual Notes

Participants note the lack of initial information provided by the original poster, which complicates the discussion. There is an assumption that the context involves a cylindrical shape due to the mention of a water tank.

Zenaide
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Does pi/4(d^2) equal volume or area? OR neitheR?
 
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Neither. I have no idea what that is supposed to represent. Of course, I'm assuming you're talking about a sphere(based on the presence of pi, and your reference to both volume and area), but you did not specify.
 
It represents an area but what area? I don't know, certainly no readily identifiable geometric shape.
 
Pengwuino said:
It represents an area but what area? I don't know, certainly no readily identifiable geometric shape.


Well, is it
<br /> \frac{\pi}{4 d^2}<br />
or
<br /> \frac{\pi}{4} d^2<br />

Assuming d is in meters, the first (how i read it) is not an area, the second(how i assume you read it, and i did not think of until you posted) is. The second is the area of a circle (where r= \frac{d}{2}), if d is a diameter.

@Zenaide: In the future you need to provide more information with a question. A single sentence will almost never be enough information for us to say anything definitive.
 
<br /> \frac{\pi}{4} d^2<br />
Okay That ^^^^^ is what I meant... I had a sheet of equations but I don't have it and I can't find the equation for what that series of things equal... and I was using d as a diameter for a water tank... SO I'm assuming the water tank is a cylnder. because it has a height and a diameter.
 
Zenaide said:
<br /> \frac{\pi}{4} d^2<br />
Okay That ^^^^^ is what I meant... I had a sheet of equations but I don't have it and I can't find the equation for what that series of things equal... and I was using d as a diameter for a water tank... SO I'm assuming the water tank is a cylnder. because it has a height and a diameter.


Then that would be the cross sectional area. The volume would be
<br /> V = \frac{\pi}{4} d^2 h<br />

where h is the height in meters.
 

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