Question

What is the volume of this sphere?

12π cm³

36π cm³

288π cm³

864π cm³

Answer 1

288π cm³

Explanation:

Answer 2

Option 3 rd is correct.

288π cm³

Explanation:

Volume(V) of the sphere is given by:

`V = (4)/(3) \pi r^3` ....[1]

where,

r is the radius of the sphere.

From the given figure:

radius(r) = 6 cm

Substitute in [1] we have;

`V =(4)/(3) \pi \cdot 6^3 =(4)/(3) \pi \cdot 216`

Simplify:

`V = 288 \pi` cm³

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