Multiple choice general knowledge math & puzzles

When a metallic ball bearing is placed inside a cylindrical container, of radius 2 cm, the height of the water, inside the container, increases by 0.6 cm. The radius, to the nearest tenth of a centimeter, of the ball bearing is

  1. 1

  2. 1.2

  3. 2

  4. 0.6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The volume of water displaced is V = π * r^2 * h = π * 2^2 * 0.6 = 2.4π. The volume of the ball (sphere) is (4/3)π * R^3. Setting 2.4π = (4/3)π * R^3 gives R^3 = 1.8. The cube root of 1.8 is approximately 1.216, which rounds to 1.2.

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