Multiple choice general knowledge science & technology

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 cm

  2. 1.2 cm

  3. 2 cm

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

The ball displaces water equal to its volume. Ball volume = (4/3)πr³. Displaced water volume = π(2)²(0.6) = 2.4π. Equating: (4/3)πr³ = 2.4π, which gives r³ = 1.8 and r ≈ 1.2 cm.

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