Answer:
5 inches
Step-by-step explanation:
Given: The volume of this sphere is 500/3π cubic inches.
To Find :What is the radius?
Solution:
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
We are given that The volume of this sphere is 500/3π cubic inches.
So, On Comparing :
[tex]\frac{4}{3}\pi r^3 = \frac{500}{3} \pi[/tex]
[tex]\frac{4}{3} r^3 = \frac{500}{3}[/tex]
[tex]r^3 = \frac{500 \times 3}{3 \times 4}[/tex]
[tex]r^3 = \frac{1500}{12}[/tex]
[tex]r^3 = \frac{500}{4}[/tex]
[tex]r^3 = 125[/tex]
[tex]r = \sqrt{125}[/tex]
[tex]r = 5[/tex]
Hence the radius of the sphere is 5 inches
