Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m3 = 1000l)
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.
The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.
Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm
The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres
The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height
A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid
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 |
How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (1/10)th part of the wall?
