A cylindrical container, 16 cm in radius, holds milk to a depth of 30 cm. If a solid hemisphere is submerged in the milk, the liquid level increases by 9 cm. Determine the radius of the hemispherical ball
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Correct answer: D
Explanation
Radius of cylinder = 16 cm
Level rise = 9 cm
According to the formula:
Displaced volume = volume of hemisphere
Displaced volume = π × 16² × 9= 2304π
⇒ (2/3)πR³ = 2304π
⇒ (2/3)R³ = 2304
⇒ R³ = 3456
⇒ R = ∛3456 = 12√2 cm