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The radius of a sphere is 6 units.

Which expression represents the volume of the sphere, in cubic units?

A. [tex] \frac{3}{4} \pi(6)^2 [/tex]

B. [tex] \frac{4}{3} \pi(6)^3 [/tex]

C. [tex] \frac{3}{4} \pi(12)^2 [/tex]

D. [tex] \frac{4}{3} \pi(12)^3 [/tex]

Sagot :

GinnyAnswer
To determine the expression that represents the volume of a sphere with a radius of 6 units, we use the formula for the volume of a sphere. The volume \( V \) of a sphere is given by the formula:

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

where \( r \) is the radius of the sphere.

Given that the radius \( r \) is 6 units, we substitute \( r \) with 6 into the formula:

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

Thus, the correct expression representing the volume of the sphere in cubic units is:

[tex]\[ \boxed{\frac{4}{3} \pi (6)^3} \][/tex]

This is the correct option from the provided choices, which is:

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