Answer:
The radius of the sphere is 4.47 cm
Explanation:
Parameter given:
Radius of cylinder, R = 4.0cm = 0.04m
The formula for moment of inertia of the cylinder is given as
I(C) = 1/2 * mr²
Where I = moment of inertia
m = mass of cylinder
r = radius of cylinder
The moment of inertia of the sphere is given as:
I(S) = 2/5 * MR²
Where M = mass of sphere
R = radius of sphere.
From the question, I(C) = I(S), hence,
1/2 * mr² = 2/5 * MR²
Since m = M
1/2 * r² = 2/5 * R²
1/2 * 5/2 * r² = R²
5/4 r² = R²
=> 5/4 * 0.04² = R²
=> R² = 5/4 * 0.0016 = 0.002
=> R = 0.0447 m = 4.47 cm
Therefore, radius of the sphere is 4.47 cm
