# Simple Question: Volume -> Diameter

1. Mar 31, 2004

### bbg5000

Simple Question: Volume --> Diameter

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

2. Mar 31, 2004

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

3. Mar 31, 2004

### bbg5000

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

4. Mar 31, 2004

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

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

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

Last edited: Mar 31, 2004
5. Mar 31, 2004

### 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.

Last edited: Mar 31, 2004
6. Mar 31, 2004

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

7. Mar 31, 2004