Answer:
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
Step-by-step explanation:
Let V be the volume of the sphere
Given
Volume of sphere = V = 4500 cubic inches
Let r be the radius of the sphere
The volume of the sphere is given by the formula
[tex]V = \frac{4}{3}\pi r^3[/tex]
Putting the known values
[tex]4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403[/tex]
Rounding off to nearest hundredth
The radius is: 10.24 inches.
Hence,
The radius of sphere with volume 4500 cubic inches is 10.24 inches.
