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

Question

The radius of a sphere is 6 units. Which expression represents the volume of the sphere in cubic units.


`(3)/(4) \pi(6) {}^(2) \\ \\ (4)/(3) \pi(6) {}^(3) \\ \\ (3)/(4) \pi(12) {}^(2) \\ \\ (4)/(3) \pi(12) {}^(3)`
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Answer 1

ANSWER

The volume of the sphere is


`V= (4)/(3) \pi \: {(6)}^(3)`

Step-by-step explanation

The volume of a sphere is calculated using the formula;


`V= (4)/(3) \pi \: {r}^(3)`

The given sphere has radius 6 units.

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


`V= (4)/(3) \pi \: {(6)}^(3)`

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


The second choice is correct.