Question : Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/hr. Find the volume of water flowing through the canal in 30 minutes. (take $\pi=\frac{22}{7}$)
Option 1: 3,76,500 m3
Option 2: 3,56,500 m3
Option 3: 3,66,500 m3
Option 4: 3,46,500 m3
Correct Answer: 3,46,500 m 3
Solution :
Given: Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/hr.
The internal radius of the cylinder = $\frac{7}{2}$ m
Speed of water = 18 km = 18 × $\frac{5}{18}$ = 5 m/s
So, in 1 second volume of water flows = $\pi×(\frac{7}{2})^2×5$
⇒ In (30 × 60) seconds volume of water flows
= $\frac{22}{7}×\frac{7}{2}×\frac{7}{2}×5×30×60$
= 22 × 7 × 5 × 30 × 15
= 3,46,500 m
3
Hence, the correct answer is 3,46,500 m
3
.
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