Water is flowing at the rate of 2.52

Asked by admin @ in Math viewed by 414 People

WATER IS FLOWING AT A RATE OF 2.52KM/HR THROUGH A CYLINDRICAL PIPE INTO A CYLINDRICAL TANK,THE RADIUS OF WHOSE BASE IS 40CM.IF THE INCREASE IN THE LEVEL OF WATER IN THE TANK ,IN THE HALF OF THE HOUR IS 3.15M , FIND THE INTERNAL DIAMETER OF THE PIPE

Answered by admin @


Solution:-

Increase in the water level in half an hour = 3.15 m = 315 cm
Radius of the water tank = 40 cm
Volume of the water that falls in the tank in half an hour = πr²h
= 22/7*40*40*315
= 1584000 cu cm

Rate of the water flow = 2.52 km/hr
Length of water column in half an hour = (2.52*30)/60
= 1.26 km = 126000 cm

Let the internal diameter of the cylindrical pipe be d.
Volume of water that flows through the pipe in half an hour = π*(d/2)²*126000

As we know that, 
Volume of the water that flows through pipe in half an hour = Volume of water that falls in the cylindrical tank in half an hour
⇒ 22/7*(d/2)²*126000 = 1584000
⇒ 22/7*d²/4*126000 = 1584000
⇒ d² = 16
⇒ d = √16
⇒ d = 4
So, the internal diameter of the pipe is 4 cm
Answer.

Similar Questions

Water flows at the rate of 10m min

Asked by admin @ in Math viewed by 301 persons

water flows at the rate of 10m/min through a cylindrical pipe 5mm in diameter . how long would it take to filla conical vessel whose diameter at the surface is …

Water is flowing at the rate of 15 km

Asked by admin @ in Math viewed by 295 persons

water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m …

Water is flowing at the rate of 5km hr

Asked by admin @ in Math viewed by 298 persons

water is flowing at the rate of 5 km per hour through a pipe of diameter 14cm into a rectangular tank which is 50 long and 44 m wide. Determine …

Water is flowing at the rate of 15km hr

Asked by admin @ in Math viewed by 318 persons

water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m …

Water is flowing at a rate of 15km hr

Asked by admin @ in Math viewed by 327 persons

water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m …

Water is flowing at the rate of 3km h

Asked by admin @ in Math viewed by 311 persons

Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter intoa circular cistern diameter 10 m and depth 2 m. In how …

Water is flowing at the rate of 1.13 kg s

Asked by admin @ in Science viewed by 662 persons

Water is flowing at the rate of 1.13 kg/s in an heat exchanger and is heated from 45 oC to 85oC by an oil having a heat capacity of 1.95 …

Water flows through a water hose at a rate of

Asked by wiki @ in Physics viewed by 377 persons

Water flows through a water hose at a rate of Q1 = 860 cm3/s, the diameter of the hose is d1 = 1.85 cm. A nozzle is attached to the …

Water flows at a rate of 10 m min

Asked by admin @ in Math viewed by 353 persons

Water flows at the rate of 10 m per min through cylindrical vessel

A continuous flow water heater has an electrical power rating

Asked by admin @ in Physics viewed by 402 persons

Hii ,,, a continuous flow water heater geyser has an electrical power rating 2 kilowatt and efficiency of conversion of electric power into heat 80% if water is flowing through …

Which factors affect the rate of osmotic movement of water

Asked by admin @ in Biology viewed by 334 persons

Which factors affect the rate of osmotic movement of water? Which factors affect the rate of osmotic movement of water? No factors have an effect; the rate of osmosis is …

The rate of flow of electric charge is called

Asked by admin @ in Physics viewed by 337 persons

1. What is the rate of flow of electric charges called? (a) Electric potential (b) electric conductance (c) Electric current (d) none of these 2. Which of the following is …

Compute the rate of return for the following cash flow

Asked by admin @ in Business viewed by 299 persons

Compute the internal rate of return for the cash flows of the following two projects (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal …

Percolation rate of water in soil is expressed as

Asked by admin @ in Science viewed by 311 persons

Percolation rate of water in soil is expressed in the unit of_​

A water tank leaks water at the rate of 3.9

Asked by admin @ in Math viewed by 347 persons

A tank has 150 L of water in it. water leaks at the rate of 1/2 L in 3 hours from it. find the remaining quantity of water in the …

Most viewed questions in Math

What is the value of x in the expression

Asked by admin @ in Math viewed by 15186 persons

Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12992 persons

Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12069 persons

Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11541 persons

Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11518 persons

The town of p is located at point x

Asked by admin @ in Math viewed by 11366 persons

A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10181 persons

Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9405 persons

Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9358 persons

The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7531 persons

The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7409 persons

In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7213 persons

What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5284 persons

Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4811 persons

Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4186 persons