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.

Explanation:

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