Respuesta :

Given:

The diameter of a sphere is 19 cm.

To find:

The volume of the sphere.

Solution:

We have,

[tex]Diameter=19\text{ cm}[/tex]

[tex]Radius=\dfrac{19}{2}\text{ cm}[/tex]

The volume of the sphere is

[tex]V=\dfrac{4}{3}\pi r^2[/tex]

where, r is radius.

Putting [tex]\pi=\dfrac{22}{7}, r=\dfrac{19}{2}[/tex] in the above formula.

[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (\dfrac{19}{2})^3[/tex]

[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times \dfrac{19}{2}\times \dfrac{19}{2}\times \dfrac{19}{2}[/tex]

[tex]V=\dfrac{75449}{21}[/tex]

[tex]V=3592.80952[/tex]

[tex]V\approx 3592.8[/tex]

Therefore, the volume of the sphere is 3592.8 sq. cm.