How do you find the radius of a sphere with volume given

Answer 1

To find the radius of a sphere with a given volume, you can use the formula for the volume of a sphere, which is given by:

V = (4/3)πr³

Here, V represents the volume of the sphere and r represents the radius. To find the radius, you need to rearrange the formula and solve for r.

1. Start with the volume formula for a sphere:

V = (4/3)πr³

2. Divide both sides of the equation by (4/3)π:

V / ((4/3)π) = r³

3. Simplify the equation:

3V / (4π) = r³

4. Take the cube root of both sides of the equation to solve for r:

r = cube root of (3V / (4π))

Once you have the cube root of (3V / (4π)), you have found the radius of the sphere.