Finding surface area of a sphere

AI Thread Summary
To find the surface area of a sphere when given its volume, first use the volume formula V = (4/3)πr^3 to determine the radius. Once the radius is found, apply the surface area formula A = 4πr^2. There is a humorous note that if the volume is zero, the radius must also be zero, leading to a surface area of zero. This discussion underscores the importance of understanding the relationship between volume and surface area formulas for spheres. The conversation highlights the confusion between area and volume in the context of spherical geometry.
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:
V = \frac{4}{3} \pi r ^ 3
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:
A = 4 \pi r ^ 2
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 4\pi r^2 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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