Surface areas and volume class 10
Answers
Answer:
30 min
don't scold me if the answer is wrong please
★QUESTION
Water flows at the rate of 2 meter per minute from a cylindrical pipe of 2 cm diameter.How long will it take to up a conical vessel whose diameter at the base is 60 cm and depth 12cm
➽GIVEN:-
- Flowing rate of water = 200cm/min
- Diameter of cylindrical pipe = 2cm
- Diameter of conical vessel = 60cm
- Height of the conical vessel = 12cm
➽SOLUTION
Since, water flows 2m in 1 min thus, the length or height of the pipe will be 2m .
↣ Area of cylindrical pipe = πr²h
↣ Area of cylindrical pipe = π ×1×1×200
↣ Area of cylindrical pipe = 200π
Now, Area of conical vessel = 1/3 πr² h
↣ Area of conical vessel = 1/3 ×π ×30×30 ×12
↣ Area of conical vessel =30×30×4 π
↣ Area of conical vessel = 900×4π
↣ Area of conical vessel = 3600 π
Total time taken to fill the tank =Area of conical vessel /area of cylindrical pipe =3600π/200π = 18min .
Thus, it will take 18 minutes to fill the tank.
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