How Do You Calculate Diameter from Volume?

[bbg5000]

Simple Question: Volume --> Diameter

I know how to find volume using diameter, but how do you find diameter using volume?

 

[cookiemonster]

The volume of what? A sphere? A cylinder? A cone?

cookiemonster

 

[bbg5000]

..whoops...yeah, a sphere. How do you find the diameter of a sphere using the volume?

 

[cookiemonster]

V = \frac{4}{3}\pi \Big(\frac{d}{2}\Big)^3

That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d!

d = \sqrt[3]{\frac{6V}{\pi}}

cookiemonster

 

[Janitor]

Cookiemonster probably meant to cube his radius, not to square it, and thus also to use a cube root, not a square root. This would change his final formula slightly.

 

[cookiemonster]

Hah, hah, hah... Did I do that?

cookiemonster

 

[bbg5000]

Thanks for the help cookiemonster...

 

[cookiemonster]

Gah... Minor details.

cookiemonster