Respuesta :
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]
[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