Which of the following objects would have the most inertia? a. a sphere with a radius of 5 cm and a mass of 34 grams. b. a sphere with a radius of 4 cm and a mass of 15 grams. c. a sphere with a radius of 8 cm and a mass of 27 grams. d. a sphere with a radius of 15 cm and a mass of 6 grams.

The correct answer is option D which is a sphere with a radius of 15 cm and a mass of 6 grams.

The formula of inertia : 1/2 m × r × r

By putting value in formula one by one:

Option A:

Inertia = 1/2 * 34 * 5 * 5 = 425

Option B:

Inertia = 1/2 * 15 * 4* 4 = 120

Option C:

Inertia = 1/2 * 27 * 8 * 8 = 864

Option D:

Inertia = 1/2 * 6 * 15 * 15 = 900

volume: 22

density: 7.04