Question

Water flows at the rate of $10$m/min. through a cylindrical pipe $5$mm in diameter. How long in sec would it take to fill a conical vessel whose diameter at the base is $40$cm and depth $24$cm?

Answer 1

We know that,Volume of cylindrical $=\pi r^{2}H$

and Volume of cone$=\frac{1}{3}\pi \left(r{)}^2\right(h)$

Volume of cylinder$=\pi {\left(\frac{0.5}{2}\right)}^2\left(1000\right)=196.25$cu. cm/min

Volume of cone$=\frac{1}{3}\pi \left(20{)}^2\right(24)=10048c{m}^3$

$\therefore$ Time taken is $\frac{10048}{196.25}=51.2$ min $=3072$ sec