Q. 164.0( 8 Votes )
A cylindrical pipe has inner diameter of 7 cm and water flows through it at the rate of 192.5 litres per minute. Find the rate of flow in kilometres per hour.
Inner diameter = 7 cm
Rate of flow of water = 192.5 litres/min.
To find: Rate of flow of water.
Formula Used: Volume of cylinder = πr2h
The inner diameter of the pipe = 7 cm
The inner radius of the pipe = = 3.5 cm
Water flows at the rate 192.5 litres per minute,
⇒ The volume of water that flows in 1 min = 192.5 l
⇒ Volume of water that flows in 60 min = (192.5 × 60) l
As 1 l = 1000 cm3
⇒ (192.5 × 60) l = (192.5 × 60 × 1000) cm3
Let “h” cm be the length of column of water which flows in 1 hour.
As water is flowing from cylindrical pipe,
So, Water column forms a cylinder of radius 3.5 cm and length “h” cm.
Volume of water that flows in 1 hour = volume of the cylinder
⇒ h = 300000 cm
⇒ h = 300000 cm
= 3 km
Hence, the rate of flow of water is 3 km/h.
Rate this question :
A solid cuboid of iron with dimensions 53 cm × 40 cm × 15 cm is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are 8 cm and 7 cm respectively. Find the length of pipe.RD Sharma - Mathematics
A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cone formed.RD Sharma - Mathematics
How many coins 1.75 cm in diameter and 2 mm thick must be melted to form a cuboid 11 cm × 10 cm × 7 cm?RD Sharma - Mathematics
A farmer runs a pipe of internal diameter 20 cm from the canal into a cylindrical tank in his field which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km / h, in how much time will the tank be filled?RD Sharma - Mathematics
A well with inner radius 4 m is dug 14 m deep. Earth taken out of it has been spread evenly all around a width of 3 m it to form an embankment. Find the height of the embankment.RD Sharma - Mathematics
A hemisphere bowl of internal diameter 30 cm is full of a liquid. This liquid is filled into cylindrical - shapes bottles each of diameter 5 cm and height 6 cm. How many bottles are required?RS Aggarwal - Mathematics
During conversion of a solid from one shape to another, the volume of the new shape willNCERT - Maths Exemplar
Three solid spheres of radii 6 cm, 8 cm and 10 cm are melted to form a sphere. The radius of the sphere so formed isRS Aggarwal - Mathematics
A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls formed.RS Aggarwal - Mathematics