Question
A rectangular water tank measuring $8\ m \times 6\ m \times 4 \ cm$ is filled from a pipe of cross sectional area $1.5 \ cm^2$, the water emerging at $10\ m/s$. How long does it take to fill the tank?
✓
Answer
Time taken to fill the tank
Volume of the tank
Volume of tank
$=800 \times 600 \times 4 \ cm ^3$
Volume of water flown out of the pipe in $1\ s$
$=$ Area of cross section $\times$ Rate of flow
$=1.5 \times 10( m / s )$
$=1.5 \times 10 \times 100( \ cm / s )$
$ =1500 \ cm$
$\therefore$ The time taken to fill the tank
$=\frac{800 \times 600 \times 4}{1500}$
$=1280\ s$
$\therefore$ The time taken to fill the tank is $1280\ s . $
Volume of the tank
Volume of tank
$=800 \times 600 \times 4 \ cm ^3$
Volume of water flown out of the pipe in $1\ s$
$=$ Area of cross section $\times$ Rate of flow
$=1.5 \times 10( m / s )$
$=1.5 \times 10 \times 100( \ cm / s )$
$ =1500 \ cm$
$\therefore$ The time taken to fill the tank
$=\frac{800 \times 600 \times 4}{1500}$
$=1280\ s$
$\therefore$ The time taken to fill the tank is $1280\ s . $
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