A sphere has a volume equal to 358 cu.cm. What will be the radius of the sphere? Take $\pi =3.14$.

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: V = 358 cu.cm

Therefore,

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

$\Rightarrow 358=\frac{4}{3}\times 3.14\times {\left(r\right)}^3$

$\Rightarrow 358\times 3=4\times 3.14\times {\left(r\right)}^3$

$\Rightarrow 1074=12.56\times r^3$

$\Rightarrow r^3=85.50$

$\Rightarrow r=\sqrt[3]{85.50}=4.40 cm$

Hence, the radius is 4.40 cm.