Advertisements
Advertisements
प्रश्न
A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.
Advertisements
उत्तर
Let the level of water be risen by h cm.
Then,
Volume of water in the tank = `8000xx2500xxhcm^2`
Area of cross – section of the pipe =`25cm^2`
Water coming out of the pipe forms a cuboid of base area `25cm^2` and length equal to the distance travelled in 45 minutes with the speed 16km/hour.
i.e., length=`16000xx100xx45/60cm`
∴Volume of water coming out of pipe in 45 minutes
`=25xx16000xx100(45/60)`
Now, volume of water in the tank = volume of water coming out of the pipe in 45 minutes
`⇒8000xx2500xxh=16000xx100xx45/60xx25`
`⇒h=(16000xx100xx45xx25)/(8000xx2500xx60)cm=1.5cm.`
APPEARS IN
संबंधित प्रश्न
A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?
A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, How many bricks would be required?
The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height is
The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is
Volume of regular solids such as cube and cuboid can be found by multiplying the dimensions. Complete the given table by finding the volume of the given objects
| S.No. | Objects | l | b | h | Volume (cubic cm) |
| 1. | Note books | 6 cm | 15 cm | 1 cm | |
| 2. | Name board | 20 cm | 90 cm | 2 cm | |
| 3. | Show case cub board | 70 cm | 250 cm | 70 cm | |
| 4. | Gift box | 10 cm | 10 cm | 10 cm | |
| 5. | Dice | 1 cm | 1 cm | 1 cm |
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, find the volume of water already used from the tank.
Water flows from a tank with a rectangular base measuring 80 cm by 70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?
