# If the volume of a sphere is #2304pi#, then what is the diameter?

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My teacher requires work to be shown. If you can show work, if it's not too much trouble, please do!!! thank you!!!

My teacher requires work to be shown. If you can show work, if it's not too much trouble, please do!!! thank you!!!

##### 2 Answers

The diameter is

#### Explanation:

The formula for volume of a sphere is:

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

We can cancel

Multiply both sides by

To find the cube root, we separate the factors of the number on the left.

Since the radius (

#### Explanation:

Vol sphere=

divide L.H.S and R.H.S by

divide L.H.S and R.H.S by