Respuesta :
Answer:
r ≅ 3.00
Step-by-step explanation:
First we need to get the formula for finding the volume of sphere. The formula is:
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
Now to find for the radius, we need to input the value that we know into the formula.
[tex]113.14=\frac{4}{3}\pi r^{3}[/tex]
Now we multiply both sides by 3/4.
[tex]\frac{3}{4}x113.14=\frac{4}{3}\pi r^{3}[/tex]
[tex]84.86=\pi r^{3}[/tex]
Now divide both sides by π.
[tex]\frac{84.86}{\pi}=\frac{\pi r^{3}}{\pi}[/tex]
[tex]27.01=r^{3}[/tex]
To find r, we finally get the cube root of both sides.
[tex]\sqrt[3]{r^{3} }= \sqrt[3]{27.01}[/tex]
r ≅ 3.00