Answer:
Given volume= 32/3 π
Now, we know that volume of sphere = 4/3 π r³ according to the question.
[tex]\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi[/tex]
Both π and 3 are canceled from both sides
Now,
[tex]4r^{2} =32[/tex]
Divide both sides by 4
[tex]r^{3} =\frac{32}{4} =8[/tex]
[tex]r^{3} =8[/tex]
[tex]r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}[/tex]
[tex]r=(2^{3} )^{1/3} =2^{3\times1/3}[/tex]
[tex]r=2 \; cm[/tex]
Radius of sphere = 2 cm
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