Respuesta :

Answer:

288π cm³

Step-by-step explanation:

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Answer:

Option 3 rd is correct.

288π cm³

Step-by-step explanation:

Volume(V) of the sphere is given by:

[tex]V = \frac{4}{3} \pi r^3[/tex]        ....[1]

where,

r is the radius of the sphere.

From the given figure:

radius(r) = 6 cm

Substitute in [1] we have;

[tex]V =\frac{4}{3} \pi \cdot 6^3 =\frac{4}{3} \pi \cdot 216[/tex]

Simplify:

[tex]V = 288 \pi[/tex] cm³

Therefore, the volume of the given sphere is, 288π cm³