2021 · Q22
A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised?
Elementary MathematicsMensuration
- A0.5 cm
- B1 cm
- C1.5 cm
- D2 cm
Explanation
The sphere's volume is (4/3)π·3³ = 36π cm³. The vessel's base area is π·6² = 36π cm². The displaced volume raises the level by 36π/36π = 1 cm. Hence option B.