Two spherical shells have their mass uniformly distrubuted over the spherical surface. one of the shells has a diameter of 2 meters and a mass of 1 kilogram. the other shell has a diameter of 1 meter. what must the mass m of the 1-meter shell be for both shells to have the same moment of inertia about their centers of mass?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq