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The volume of a sphere is * cubic centimeters. What is the radius?

The Volume Of A Sphere Is Cubic Centimeters What Is The Radius class=

Sagot :

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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