# Finding surface area of a sphere

1. Apr 4, 2006

### bblueblob

Can someone tell me how to find the surface area of a sphere when given the Area? thanks

2. Apr 4, 2006

### AKG

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?

3. Apr 5, 2006

### VietDao29

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? :)

4. Apr 5, 2006

### dextercioby

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.

5. Apr 5, 2006

### bblueblob

thank you all!