Respuesta :

Given:

the mass of the solid sphere is

[tex]m=10\text{ kg}[/tex]

radius of the sphere is

[tex]r=0.2\text{ m}[/tex]

Required: calculate the moment of inertia

Explanation:

to calculate the moment of inertia we will use the formula that is given by

[tex]I=\frac{2}{5}mr^2[/tex]

Plugging all the values in the above formula, we get

[tex]\begin{gathered} I=\frac{2}{5}\times10\text{ kg}\times0.2\times0.2\text{ m}\times\text{ m } \\ I=0.16\text{ kg m}^2 \end{gathered}[/tex]

Thus, the moment of inertia is 0.16 .