Answer:
The radius is 18.3cm
Step-by-step explanation:
Given
[tex]V = 25500cm^3[/tex]
Required
The radius, r
The volume (V) of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]25500 = \frac{4}{3}\pi r^3[/tex]
Solve for r
[tex]\pi r^3 = 25500 * \frac{3}{4}[/tex]
[tex]\pi r^3 = 19125[/tex]
Divide by [tex]\pi[/tex]
[tex]r^3 = \frac{19125}{\pi }[/tex]
[tex]r^3 = \frac{19125}{3.14}[/tex]
[tex]r^3 = 6090.8[/tex]
Take cube roots
[tex]r = 18.3[/tex] -- approximated
