2022 · Q84
Water is trickling out of a completely filled cylindrical tank of height 1 m and diameter 2 m. Every second a spherical droplet of 1 cm radius trickles down from the bottom of the tank. The tank will be emptied in approximately.
Elementary MathematicsMensuration
- A280 hours
- B260 hours
- C230 hours
- D210 hours
Explanation
Tank volume = πx100²x100 = 10⁶π cm³; one drop = (4/3)π cm³ per second. Time = 7.5x10⁵ s ≈ 208.3 h ≈ 210 h. Hence the keyed option is D.