Respuesta :

gmany
The formula of the volume of a sphere with a radius R:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
We have R = 5. Substitute:
[tex]V=\dfrac{4}{3}\pi\cdot5^3=\dfrac{4}{3}\pi\cdot125=\dfrac{500\pi}{3}[/tex]

Answer:

The volume of a sphere with radius 5 is 523.33 unit³

Step-by-step explanation:

Given : a sphere with radius 5

We have to find an expression  that gives the volume of a sphere with radius 5.

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Given radius is 5 units

Substitute , we get,

Volume of sphere = [tex]\frac{4}{3} \pi (5)^3[/tex]

Simplify, we get,

Volume of sphere = [tex]\frac{4}{3} \pi 125[/tex]

Using [tex]\pi=3.14[/tex] we get,

Volume of sphere = [tex]\frac{4}{3} \cdot 3.14 \cdot 125[/tex]

Solving , we get,

Volume of sphere = 523.33 unit³

Thus, the volume of a sphere with radius 5 is 523.33 unit³