The number of circular pipes with an inside diameter of 1 inch which will carry the same amount of water as a pipe with an inside diameter of 6 inches is :
A. $$6\pi $$
B. $$12$$
C. $$36$$
D. $$36\pi $$
Answer: Option C
Solution(By Examveda Team)
Let the length of each pipe be $$l$$ inchesThen, volume of water in thinner pipe :
$$\eqalign{ & = \left[ {\pi \times {{\left( {\frac{1}{2}} \right)}^2} \times 1} \right] \text{cu.inch} \cr & = \left( {\frac{{\pi l}}{4}} \right)\text{cu.inch} \cr} $$
Volume of water in thinker pipe :
$$\eqalign{ & = \left( {\pi \times {3^2} \times l} \right)\text{cu.inch} \cr & = \left( {9\pi l} \right)\text{cu.inch} \cr} $$
∴ Required number of pipes :
$$\eqalign{ & = \frac{{9\pi l}}{{\left( {\frac{{\pi l}}{4}} \right)}} \cr & = 36 \cr} $$
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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