Respuesta :
Answer:
Option C is correct
[tex]\sqrt[3]{\frac{3V}{4 \pi}}[/tex] units
Step-by-step explanation:
Volume of a sphere(V) is given by:
[tex]V = \frac{4}{3} \pi r^3[/tex] .....[1]
where,
[tex]3V = 4 \pi r^3[/tex]r is the radius of the sphere.
We have to find the radius r:
Multiply both sides by 3 both sides in [1] we have;
[tex]3V = 4 \pi r^3[/tex]
Divide both sides by [tex]4\pi[/tex] we have;
[tex]\frac{3V}{4 \pi} = r^3[/tex]
Taking cube root both sides we have;
[tex]\sqrt[3]{\frac{3V}{4 \pi}} = r[/tex]
or
[tex]r = \sqrt[3]{\frac{3V}{4 \pi}}[/tex] units
Therefore, the radius of the sphere is, [tex]\sqrt[3]{\frac{3V}{4 \pi}}[/tex] units
