Respuesta :

Solution:

Given:

[tex]A\text{ sphere with radius r = 5}[/tex]

The volume of a sphere is calculated using the formula below;

[tex]V=\frac{4}{3}\pi r^3[/tex]

Substituting the value of r into the formula;

[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\times\pi\times5^3 \\ V=\frac{4}{3}\times\pi\times125 \\ V=\frac{500}{3}\pi\text{ cubic units} \end{gathered}[/tex]

Therefore, the volume of the sphere is;

[tex]V=\frac{500}{3}\pi[/tex]

The correct answer is OPTION B.

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