Question
A hemispherical tank full of water is emptied by a pipe
at the rate of 23.1 litres per second. How much time (in hours) will it take to empty 3/4 th part of the tank if the internal radius of the tank is 21 m?Solution
The volume of the hemispherical tank is 3/4 × 22/7 × 21 × 21 × 21 21829.5 m3 The capacity of the tank is 21829.5× 1000 L 21829500 L So, Time taken by the pipe emptied 2/3 part of the tank is (3/4 × 21829500) ÷ 23.1sec 708750 sec Time in hours 708750/3600 (1575/8) hours ∴ The required time is (1575/8) hours
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