Answer:
r = 1.3m
Step-by-step explanation:
The moment of inertia of a solid sphere can be expressed using the formula;
I = ⅖ mr²
Where;
I = moment (kgm²)
m = mass of the sphere (kg)
r = rotational radius of the sphere (m)
Based on the provided information in this question, I = 1.52 kgm², m = 2.25 kg, r = ?
1.52 = ⅖ × 2.25 × r²
1.52 = 0.4 × 2.25 × r²
1.52 = 0.9 × r²
1.52 = 0.9r²
r² = 1.52/0.9
r² = 1.688
r² = 1.69
r = √1.69
r = 1.3m