Advertisements
Advertisements
प्रश्न
Water is flowing at the rate of 6 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 60 m long and 22 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.
उत्तर
We have,
speed of the water flowing though the pipe ,H=6 Km/h `= (600000 "cm")/"3600 s" = 500/3 "cm"// "s"`
Radius of the pipe, R = `14/2` = 7 cm
Length of the rectangulat tank, l = 60 m = 6000 cm
Breadth of the rectangular tank, b = 22 m = 2200 cm and
Rise in the level of water in the tank, h = 7 cm
Now,
Volume of the water in the rectangular tank = lbh
= 6000 × 2200 ×7
=92400000 cm3
Also,
Volume of the water in the flowing through the pipe im 1s = πR2H
`= 22/7xx7xx7xx500/3`
`=77000/3 "cm"^3`
so,
`"The time taken" ="Volume of the water in the rectangular tank"/"Volume of the water flowing through the pipe in 1 s"`
`=92400000/((77000/3)`
`= (92400xx3)/77`
=3600 s
= 1 hr
So, the time in which the level of water in the tank will rise by 7 cm is 1 hour.
APPEARS IN
संबंधित प्रश्न
Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.
The `3/4` th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.
A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.
A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 104 cm and the radius of each of the hemispherical ends is 7 cm, find the cost of polishing its surface at the rate of Rs 10 per dm2 .
In the middle of a rectangular field measuring 30 m × 20 m, a well of 7 m diameter and 10 m depth is dug. The earth so removed is evenly spread over the remaining part of the field. Find the height through which the level of the field is raised.
The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m, surmounted by a cone of equal base and slant height 12.5 m. Find the internal curved surface area and the capacity of the building.
A golf ball has diameter equal to 4.2 cm. Its surface has 200 dimples each of radius 2 mm. Calculate the total surface area which is exposed to the surroundings assuming that the dimples are hemispherical.
The ratio between the radius of the base and the height of a cylinder is 2 : 3. If its volume is 1617 cm3, the total surface area of the cylinder is
The surface area of a sphere is 154 cm2. The volume of the sphere is
The radius of a metallic sphere is 8 cm. It was melted to make a wire of diameter 6 mm. Find the length of the wire.
