Question

A hemispheric tank is emptied by a pipe at the rate of 5 litres per minute.How long will it take to empty the tank if it is 14 m in diameter.​

Answer 1

★ $\bold{\underline{\rm{\pink{Given:-}}}}$

• Diameter of tank = 14m

• Therefore, Radius of tank = $\sf{ \dfrac{14}{2} = 7m}$

• Pipe emptied at the rate of 5 liter.

★ $\bold{\underline{\rm{\green{Solution:-}}}}$

★ we first get the volume of hemisphere,

• Formula:- $\sf{ \dfrac{2}{3} \pi r^3}$

• Volume:- $\sf{ \dfrac{2}{3} \times 3.142 \times 7 \times 7 \times 7}$

$\implies \sf{7.1847 m^3}$

★ Conversion into liter:-

1 cubic metre = 1000 litres

$\implies \sf{1000 \times 7.1847}$

$\implies \sf{7184.7 \; litres}$

★ Time taken to empty the tank at 5 litres per minute.

$\implies \sf{ \dfrac{7184.7}{5}}$

$\bold{\underline{\underline{\boxed{\sf{\red{\dag \; 1.43694 \; minutes}}}}}}$

$\rule{200}{2}$