The diameter of a sphere, in terms of the volume of the sphere, is [tex]\rm \dfrac{\pi d^3}{6}[/tex].
The volume of the sphere
The volume of the sphere is defined as the total capacity applied on the sphere;
The diameter of a sphere, how can the volume be calculated.
The volume of the sphere is given by;
[tex]\rm Volume \ of \ the \ sphere =\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
The relation between the radius of the sphere and the diameter of the sphere is given by;
[tex]\rm Radius =\dfrac{diameter }{2}[/tex]
On comparing both equations;
[tex]\rm Volume \ of \ the \ sphere =\dfrac{4}{3}\pi r^3\\\\\rm Volume \ of \ the \ sphere =\dfrac{4}{3}\pi \times \left (\dfrac{d}{2}\right )^3\\\\\rm Volume \ of \ the \ sphere =\dfrac{1}{6}\pi d^3\\\\\rm Volume \ of \ the \ sphere =\dfrac{\pi d^3}{6}[/tex]
Hence, the diameter of a sphere, in terms of volume of the sphere is [tex]\rm \dfrac{\pi d^3}{6}[/tex].
To know more about the volume of the sphere click the link given below.
https://brainly.com/question/16924154
