What is the volume of this sphere?
12π cm³
36π cm³
288π cm³
864π cm³

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