The radius of a sphere is 6 units. Which expression represents the volume of the sphere in cubic units.
[tex] \frac{3}{4} \pi(6) {}^{2} \\ \\ \frac{4}{3} \pi(6) {}^{3} \\ \\ \frac{3}{4} \pi(12) {}^{2} \\ \\ \frac{4}{3} \pi(12) {}^{3} [/tex]

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ANSWER

The volume of the sphere is

[tex]V= \frac{4}{3} \pi \: {(6)}^{3} [/tex]

EXPLANATION

The volume of a sphere is calculated using the formula;

[tex]V= \frac{4}{3} \pi \: {r}^{3} [/tex]

The given sphere has radius 6 units.

We substitute r=6 into the given formula to obtain;

[tex]V= \frac{4}{3} \pi \: {(6)}^{3} [/tex]

Based on the options provided, we do not have to simplify further.


The second choice is correct.
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