2019 · Q26
A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water. A heavy sphere of the maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel?
Elementary MathematicsMensuration
- AV/2
- BV/3
- C2V/3
- DV/4
Explanation
With diameter = height = d, V = pi.d^3/4. The largest sphere has diameter d and volume pi.d^3/6 = (2/3)V. Water left = V - (2/3)V = V/3.