- A Water Tank Containing 500 Litres Of Water Begins To Leak The Volume V Of Water Remaining In The Tank At Time T Minu 1 (27.18 KiB) Viewed 42 times
A water tank containing 500 litres of water begins to leak. The volume (V) of water remaining in the tank at time t minu
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A water tank containing 500 litres of water begins to leak. The volume (V) of water remaining in the tank at time t minu
A water tank containing 500 litres of water begins to leak. The volume (V) of water remaining in the tank at time t minutes after the leak begins is given by V=VeeV. ltres, where V, is the original volume of water in the tank. (a) Show that dtdV=kV. (b) (i) If the water is leaking out at a rate of 3 litres per minute at the instant when the volume is 300 litres, show that k=−0.01. (ii) Hence, find exactly, the time taken for the volume of water remaining in the tank to fall to half of its original volume. [2]
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