A solid aluminimum sphere of radius `R` has moment of inertia `I` about an axis through its centre. The moment of inertia about a central axis of a solid aluminimum sphere of radius `2 R` is.

Options

A. 4 I
B. 8 I
C. 16 I
D. 32 I

Answer

D

Explanation

(d) The sphere of twice the radius has eight times the volume and eight times the mass, and the `r^2` term in `I = (2)/(5) mr^2` also becomes four times larger.