# A sphere is moving around in the air. If the moment of inertia is 10 Kg m2 and a radius of 1m. What is its mass?

Apr 2, 2018

The mass is $15 \text{ kg}$

#### Explanation:

The moment of inertia of a solid sphere is:

$I = \frac{2}{3} m {r}^{2}$

The radius of the sphere is $r = 1 m$.

The moment of inertia of the sphere is $I = 10 k g {m}^{2}$

The mass of the sphere is:

m=3/2*I*1/r^2=3/2*10*1/1=color(red)(15" kg"

I hope that helps!