Respuesta :
Answer:
Radius of the sphere is 5m.
Step-by-step explanation:
We have given the volume of sphere [tex]\frac{500}{3}\cdot {\pi}m^3[/tex]
we have to find the radius of the sphere
[tex]\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3[/tex]
On substituting the given value of volume of sphere we get
[tex]\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3[/tex]
After simplification we get:
[tex]\Rightarrow 4\cdot r^3=500[/tex]
[tex]\Rightarrow r^3=125[/tex]
[tex]\Rightarrow r=5[/tex]
Hence, the radius of sphere is 5m
