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 |
\[=\frac{22\times 700\times 210}{77\times 25}=1680\] |
\[=\frac{1680}{60}=28\,\,\min \] |
You need to login to perform this action.
You will be redirected in
3 sec