Question

Water flows at the rate of $10$ metres per minute from a cylindrical pipe $5$ mm. in diameter. The time taken to fill up a conical vessel, whose diameter at the base is $40$ cm and depth $24$ cm., is

• A. $55$ minutes
• B. $52$ minutes $1$ sec
• C. $51$ minutes $12$ sec
• D. $48$ minutes $15$ sec

Answer 1

The correct option is C $51$ minutes $12$ sec

Time taken = Volume flown / Volume flown in 1 min

$=\frac{\frac{1}{3}{P}_i(20{)}^2\times 24}{P_i\times \frac{2.5}{10}\times 1000}$

$=\frac{3200P_i}{62.5P_i}$

$=51min.12sec$