Answer:
[tex]\large \boxed{\text{18 cm}}[/tex]
Step-by-step explanation:
The formula for the volume (V) of a sphere is:
V = ⁴/₃πr³
We can use this equation to calculate the radius (r) and from there get the diameter (D).
[tex]\begin{array}{rcl}V & = & \dfrac{4}{3} \pi r^{3}\\\\972 \pi & = & \dfrac{4}{3} \pi r^{3}\\\\972 & = & \dfrac{4}{3} r^{3}\\\\2916 & = & 4r^{3}\\729 & = & r^{3}\\r&=&\text{9 cm}\\\end{array}\\D = 2r = 2 \times \text{9 cm}= \textbf{18 cm}\\\text{The diameter of the sphere is $\large \boxed{\textbf{18 cm}}$}[/tex]
