A hemispherical tank of radius 1 75 m is full of water it is connected with a pipe - Maths - Surface Areas and Volumes

Question

A hemispherical tank of radius 1 75 m is full of water it is
connected with a pipe which empties it at rate of 7 litre per
second how much time will it take to empty the tank completely
?

Gursheen kaur. · Accepted Answer

Given:Radius of hemispherical tank (R) =1 75m Volume of hemispherical tank $= \frac{2}{3} π R^{3}$ $= \frac{2}{3} \times \frac{22}{7} \times 1 75 \times 1 75 \times 1 75 m^{3} = \frac{539}{48} m^{3} = \frac{539000}{48} L$ Now, Time taken to empty 7 L = 1 sec $\Rightarrow T ime taken to empty = \frac{539000}{48} L = \frac{1}{7} \times \frac{539000}{48} sec = \frac{539000}{336} \sec = \frac{539000}{336 \times 60} \min utes = \frac{539000}{20160} \min utes = 26 7 \min utes (approx)$ Hence, the time taken to empty the tank completely is 26 7 minutes approximately

A hemispherical tank of radius 1.75 m is full of water . it is connected with a pipe which empties it at rate of 7 litre per second . how much time will it take to empty the tank completely ?