A) 20
B) 24
C) 26
D) 28
Correct Answer: D
Solution :
| Radius of water tank\[=\frac{1.4\times 100}{2}\,\,\text{cm}=70\,\,\text{cm}\] |
| Height of tank = 2.1 m = 210 cm |
| \[\therefore \] Volume of water tank = \[\pi {{r}^{2}}h\] |
| \[=\frac{22}{7}\times {{(70)}^{2}}\times 210\,\,\text{c}{{\text{m}}^{3}}\] |
| \[=22\times 70\times 210\,\,\text{c}{{\text{m}}^{3}}\] |
| Radius of pipe \[=\frac{3.5}{2}\,\,\text{cm}=\frac{7}{4}\,\,\text{cm}\] |
| Length of water which flows from the pipe in 1 s |
| = 2 m = 200 cm |
| \[\therefore \] Volume of water delivered in 1 s |
| \[=\frac{22}{7}\times {{\left( \frac{7}{4} \right)}^{2}}\times 200=77\times 25\,\,\text{c}{{\text{m}}^{3}}\] |
| \[\therefore \] Time to fill the tank by the pipe |
| \[=\frac{22\times 700\times 210}{77\times 25}=1680\] |
| \[=\frac{1680}{60}=28\,\,\min \] |
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