Question

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

Answer 1

Answer:

Given volume= 32/3 π

Now, we know that volume of sphere = 4/3 π r³ according to the question.

$\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi$

Both π and 3 are canceled from both sides

Now,

$4r^{2} =32$

Divide both sides by 4

$r^{3} =\frac{32}{4} =8$

$r^{3} =8$

$r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}$

$r=(2^{3} )^{1/3} =2^{3\times1/3}$

$r=2 \; cm$

Radius of sphere = 2 cm

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