Answer:
Diameter = 6 cm
Step-by-step explanation:
The formula of a volume of a sphere:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:
[tex]\dfrac{4}{3}\pi R^3=36\pi[/tex] divide both sides by π
[tex]\dfrac{4}{3}R^3=36[/tex] multiply both sides by 3
[tex]4R^3=108[/tex] divide both sides by 4
[tex]R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm[/tex]
The diameter D = 2R.
Therefore D = 2(3 cm) = 6cm
