A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours ?
A. 5000 m/hr
B. 5200 m/hr
C. 5400 m/hr
D. 5600 m/hr
Answer: Option C
Solution(By Examveda Team)
Volume flown in 5 hours :$$\eqalign{ & = \left( {225 \times 162 \times \frac{{20}}{{100}}} \right){{\text{m}}^3} \cr & = 7290\,{{\text{m}}^3} \cr} $$
Volume flown in 1 hour :
$$\eqalign{ & = \left( {\frac{{7290}}{5}} \right){{\text{m}}^3} \cr & = 1458\,{{\text{m}}^3} \cr} $$
∴ Required speed :
$$\eqalign{ & = \left( {\frac{{1458}}{{0.60 \times 0.45}}} \right){\text{m/hr}} \cr & = 5400\,{\text{m/hr}} \cr} $$
Related Questions on Volume and Surface Area
A. 12$$\pi$$ cm3
B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
D. 20$$\pi$$ cm3
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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