The formula for the volume of a sphere is given by:
V = (4/3)πr³
Where V represents the volume, and r represents the radius of the sphere. In this case, we know that:
V = 5003π
To find the radius r, we can set the two expressions for volume equal to each other:
(4/3)πr³ = 5003π
We can simplify this equation by dividing both sides by π (assuming π is not zero):
(4/3)r³ = 5003
Next, to eliminate the fraction, we multiply both sides by 3/4:
r³ = (5003 * 3) / 4
r³ = 3752.25
Now, we can find r by taking the cube root of both sides:
r = ∛(3752.25)
Calculating the cube root gives us:
r ≈ 15.64
Therefore, the radius of the sphere, denoted as r, is approximately 15.64 units.