Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it lake to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm ?

Volume of water flowing from the pipe in 1

minute = π × 0.25 × 0.25 × 1000 cu.cm.

Volume of conical vessel

$\quad=\frac{1}{3} \pi \times 15 \times 15 \times 24$ cu.cm.

$\therefore$ Required time $=\frac{\pi \times 15 \times 15 \times 24}{3 \pi \times 0.25 \times 0.25 \times 1000}$

$\quad=28$ minutes 48 seconds