2017 · Q71
A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise ?
Elementary MathematicsMensuration
- A20 cm
- B15 cm
- C10 cm
- D5 cm
Explanation
Sphere volume = (4/3)π(15)³ = 4500π cm³ displaces water in a vessel of cross-section π(30)² = 900π cm². The water rises by 4500π/900π = 5 cm. Hence option (D) 5 cm.