If $\sigma ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$ is the volume density of the solid between two concentric spheres with radii 1 and 2, then its moment of inertia about a diameter is

A) $16 \pi$
B) $18 \pi$
C) $24 \pi$
D) $28 \pi$
E)32 $\pi$

Question

If

\sigma ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }

is the volume density of the solid between two concentric spheres with radii 1 and 2, then its moment of inertia about a diameter is

A) $16 \pi$
B) $18 \pi$
C) $24 \pi$
D) $28 \pi$
E)32 $\pi$

Quizplus · Accepted Answer

The Answer of If $\sigma ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$ is the volume density of the solid between two concentric spheres with radii 1 and 2, then its moment of inertia about a diameter is

A) $16 \pi$
B) $18 \pi$
C) $24 \pi$
D) $28 \pi$
E)32 $\pi$

If σ(x,y,z)=x2+y2+z2\sigma ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }σ(x,y,z)=x2+y2+z2​

If $\sigma ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$