Find the volume of a sphere whose radius is 6 cm. Take $\pi =\frac{22}{7}$.

Concept: The capacity of a sphere is measured by its volume. It's the area that the spherical takes up. Cubic units, such as m³, cm³, in³, and so on, are used to measure the volume of a sphere.

The sphere is round and three-dimensional in shape. It has three axes that define its shape: x-axis, y-axis, and z-axis. All items with volume, such as football and basketball, are instances of spheres.

Because the cross-section of the sphere is a circle, the volume here is determined by the diameter of the radius of the sphere.

Volume of Sphere is calculated using formula:

$\Rightarrow Volume of Sphere = \frac{4}{3}\pi r^3$

Given: r = 6 cm

Therefore,

$\Rightarrow V = \frac{4}{3}\pi r^3$

$\Rightarrow \frac{4}{3}\pi {\left(6\right)}^3$

$\Rightarrow \frac{4}{3}\times \frac{22}{7}\times 216$

$\Rightarrow \frac{22\times 4}{7}\times 72=\frac{88\times 72}{7}=905$

Hence, the volume $905 c{m}^3$.