Answer:
15 in
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³. Here we're working backwards in that we have the volume but need to determine the radius.
Let (4/3)πr³ = 4500π. Simplifying, (4/3)r³ = 4500
Multiplying both sides by 3/4 yields r³ = 3375 in³.
Taking the cube root of both sides, we get
r = ∛3375 = 15 in
The radius of this sphere is 15 in.
Radius of sphere is 15 inch
Given that;
Volume of sphere = 4,500π cubic inches
Find:
Radius of sphere
Computation:
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
4,500π = [tex]\frac{4}{3}\pi r^3[/tex]
4500 = [tex]\frac{4}{3}r^3[/tex]
r³ = 3375
r = 15 inch
Find out more information about 'Volume of sphere'.
https://brainly.com/question/16924154?referrer=searchResults
