Finding surface area of a sphere

In summary, the conversation discusses how to find the surface area and volume of a sphere, given either the volume or radius. The formula for calculating the volume of a sphere is given, and the connection between volume and radius is discussed. The formula for finding the surface area is also provided, and it is mentioned that the volume of a sphere is 0 if it has a radius of 0.
  • #1
bblueblob
13
0
Can someone tell me how to find the surface area of a sphere when given the Area? :confused: thanks
 
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  • #2
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
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? :)
 
  • #4
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.
 
  • #5
thank you all!
 

1. What is the formula for finding the surface area of a sphere?

The formula for finding the surface area of a sphere is 4πr², where r is the radius of the sphere.

2. How is the surface area of a sphere related to its volume?

The surface area of a sphere is related to its volume through the formula SA = 4/3πr³. This means that the surface area of a sphere is directly proportional to its volume.

3. Can the surface area of a sphere be negative?

No, the surface area of a sphere cannot be negative. It is a measurement of the total area of the sphere's surface and must be a positive value.

4. How do you find the surface area of a hemisphere?

To find the surface area of a hemisphere, you can use the formula 2πr², where r is the radius of the hemisphere. This is because a hemisphere is half of a sphere, so its surface area will be half of the surface area of a full sphere.

5. Is there a way to estimate the surface area of a sphere without using a formula?

Yes, you can estimate the surface area of a sphere by dividing the sphere into smaller, more manageable shapes such as triangles or rectangles and calculating their surface areas. Then, you can add all the individual surface areas together to get an estimate of the total surface area of the sphere.

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