Finding surface area of a sphere

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Homework Help Overview

The discussion revolves around finding the surface area of a sphere, particularly in the context of given values, which may involve confusion between area and volume.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the surface area and volume of a sphere, questioning whether the original poster meant volume instead of area. There is also a suggestion to derive the radius from the volume before calculating the surface area.

Discussion Status

Participants are actively engaging with the original question, with some providing guidance on formulas and others questioning the assumptions made about the values given. There is no explicit consensus on the interpretation of the problem.

Contextual Notes

There is a potential misunderstanding regarding whether the original poster is referring to area or volume, which is central to the discussion. One participant introduces a theoretical perspective on the volume of a sphere with zero radius, adding complexity to the interpretation.

bblueblob
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Can someone tell me how to find the surface area of a sphere when given the Area? :confused: thanks
 
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You mean "given the volume"? Do you know the formulas for the surface area of a sphere, given its radius? What about for the volume, given its radius?
 
bblueblob said:
Can someone tell me how to find the surface area of a sphere when given the Area? :confused: thanks

I think you means volume, not area, right?
The volume of a sphere can be calculated by:
[tex]V = \frac{4}{3} \pi r ^ 3[/tex]
where r is its radius.
Now given its volume, can you find its radius?
And after finding its radius, can you find its surface area?
Hint: The surface area is:
[tex]A = 4 \pi r ^ 2[/tex]
where r is the sphere's radius.
Can you go from here? :)
 
Well, actually, the volume of the sphere is 0 in any possible metric space, in which we can define such an object.

So linking 0 with [itex]4\pi r^2[/itex] is quite easy, if you assume the sphere to have a zero radius.

Daniel.

P.S. Most of this post is not a joke.
 
thank you all!
 

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