 Math »
 Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm? What should be the speed of water if the rise in water level is to be attained in 1 hour?
Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm? What should be the speed of water if the rise in water level is to be attained in 1 hour?
Find out how long it will take for the water level in a 50m x 44m cuboidal pond to increase by 21 cm with water flowing at 15 km/h through a 14 cm diameter pipe.
by Maivizhi A
Updated Feb 24, 2024
Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm? What should be the speed of water if the rise in water level is to be attained in 1 hour?
The time taken by the pipe to fill the pond with water up to 21 cm is 2 hours.

Calculate the Volume of Water Flowing In:
 Given the diameter of the pipe (14 cm), we can find its radius:
 Radius = Diameter / 2 = 14 cm / 2 = 7 cm = 0.07 m
 The rate of flow is 15 km/h, which is 15000 m/h in SI units.
 Using the formula for the volume of a cylinder (V = πr²h):
 Volume of water flowing through the pipe in one hour = π × (0.07)² × 15000 m³
 Given the diameter of the pipe (14 cm), we can find its radius:

Calculate the Volume of the Cuboidal Pond:
 Given the dimensions of the cuboidal pond (length, width, and depth), we can calculate its volume:
 Volume of pond = Length × Width × Depth
 Given the dimensions of the cuboidal pond (length, width, and depth), we can calculate its volume:
 Find the Time Taken to Fill the Pond:
Divide the volume of the pond by the volume of water flowing through the pipe in one hour:
Time taken = Volume of pond / Volume of water flowing through the pipe in one hour.
Calculate the Volume of Water Flowing In:
Volume of water flowing through the pipe in one hour = π × (0.07)^2 × 15000 m^3
Volume ≈ (22/7) × 0.0049 × 15000 m^3
Volume ≈ 231 m^3
Calculate the Volume of the Cuboidal Pond:
Volume of pond = Length × Width × Depth
Volume = 50 × 44 × 0.21 m^3
Volume = 462 m^3
Find the Time Taken to Fill the Pond:
Time taken = Volume of pond / Volume of water flowing through the pipe in one hour
Time taken = 462 m^3 / 231 m^3
Time taken = 2 hours
Therefore, the time taken by the pipe to fill the pond with water up to 21 cm is 2 hours.
Volume of Cuboid and Volume of Cylinder
Cuboid:
A cuboid is a threedimensional shape with six rectangular faces. The volume of a cuboid is the amount of space it occupies. The formula to calculate the volume of a cuboid is:
Volume of Cuboid = Length (l) × Breadth (b) × Height (h)
Cylinder:
A cylinder is a threedimensional shape with two circular bases and a curved lateral surface. The volume of a cylinder is also the amount of space it occupies. The formula to calculate the volume of a cylinder is:
Volume of Cylinder = π × Radius² (r²) × Height (h)
Here are some key points to remember:
 π (pi) is a mathematical constant with an approximate value of 3.14159.
 l, b, and h for the cuboid and r and h for the cylinder represent the dimensions in the same unit (e.g., centimeters, meters).
 The volume is always expressed in cubic units (e.g., cm³, m³).
Example:

A cuboid has a length of 5 cm, a breadth of 3 cm, and a height of 2 cm.

Volume of Cuboid = 5 cm × 3 cm × 2 cm = 30 cm³

A cylinder has a radius of 4 cm and a height of 6 cm.

Volume of Cylinder = π × 4² cm × 6 cm ≈ 75.39 cm³
Remember:
 A cube is a special type of cuboid where all the sides are equal. The volume of a cube can be calculated using the formula: Volume of Cube = Side³.
 There are other formulas for calculating the surface area of both cuboids and cylinders.
Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm  FAQs
1. How fast is the water flowing through the pipe?
The water is flowing at a rate of 15 km/h.
2. What is the diameter of the pipe?
The diameter of the pipe is 14 cm.
3. What is the volume of water flowing through the pipe in one hour?
The volume of water flowing through the pipe in one hour is approximately 231 m³.
Recent Updates
 A house is on an 80,000 sq ft lot. About how many acres is the lot?
 Nik needs to estimate how many books will fit in a bin. Each book is 1’ tall, 0.5’ ...
 A bag contain 4 red, 5 blue and 3 green balls if two ball are drawn at random. What is ...
 A cubical block of side 0.5 m floats on water with 30 % of its volume under water. What...
 The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches....
 A and B take part in a 100 m race. A runs at 5 km per hour. A gives B a start of 8 m a...
 What is the sum of First 35 Natural numbers?
 If January 1, 1996, was Monday, What day of the week was January 1, 1997?
 In a kilometer race, A beats B by 40 meters or by 5 seconds. What is the time taken by ...
 A bag contain 4 red, 5 blue and 3 green balls if two ball are drawn at random What is t...
 A Kiddie Pool has a diameter of 4 ft and height of 2 ft. About how many gallons are in ...
 In a college, 25 % of the boys and 10 % of the girls offer Mathematics. The girls const...
 If the sum of three consecutive numbers is 72. What is the largest number?
 The sum of three consecutive numbers is 72. What are the smallest of these numbers?
 Which of the following numbers is divisible by 9?