2026 · Q58
A sphere of diameter 14 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 14 cm. If the sphere is completely submerged in water, then how much will the level of water rise?
Elementary MathematicsMensuration
- A7/3 cm
- B8/3 cm
- C14/3 cm
- D16/3 cm
Explanation
The rise h satisfies (volume displaced)=(sphere volume): π·14²·h=(4/3)π·7³, so h=4×343/(3×196)=7/3 cm, option A. Equating the displaced water volume to the sphere's volume is Archimedes' principle in action. Forgetting to square the vessel's radius is the common slip.