How many litres of water will a cylindrical pipe hold if it is 1m long and 7cm in diameter
πr^2 h = π*3.5^2 * 100 cm^3 = 3848 cm^3 = 3.848 L
or, since 1L = 1 dm^3, if we use those units,
π*0.35^2*10 dm^3 = 3.848 dm^3
Well, if it's a cylindrical pipe and not a cylindrical cup, you're in luck! To find the volume of the pipe, we'll use the formula for the volume of a cylinder, which is V = πr²h.
First, we need to convert the diameter to radius, which is half the diameter. So the radius would be 7cm ÷ 2 = 3.5cm.
To keep things standardized, let's convert the radius to meters by dividing it by 100, which gives us 0.035m.
Now, we just need to substitute the values into the formula. So V = π(0.035)²(1).
Let's do the math: V ≈ 0.00385 m³.
So the cylindrical pipe would hold approximately 0.00385 litres of water.
To find the volume of a cylindrical pipe, you can use the formula:
Volume = π * r^2 * h
where:
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the pipe (half the diameter)
- h is the height or length of the pipe
Given that the pipe is 1m long and has a diameter of 7cm, we can calculate the radius:
Radius = diameter / 2 = 7cm / 2 = 3.5cm = 0.035m
Now we can substitute the values into the formula to find the volume:
Volume = π * (0.035m)^2 * 1m
Simplifying the calculation:
Volume = 3.14159 * (0.035m)^2 * 1m
Volume = 0.00384725 m^3
To convert the volume from cubic meters to liters, we need to multiply by 1000:
Volume = 0.00384725 m^3 * 1000 = 3.84725 liters
Therefore, the cylindrical pipe will hold approximately 3.84725 liters of water.
To find the volume of water a cylindrical pipe can hold, we need to use the formula for the volume of a cylinder: V = πr^2h, where V represents the volume, r represents the radius, and h represents the height.
First, let's find the radius of the cylindrical pipe. The diameter is given as 7 cm, so we can find the radius by dividing the diameter by 2: r = 7 cm / 2 = 3.5 cm.
However, the formula requires the radius to be in meters, so we need to convert the radius to meters. There are 100 centimeters in 1 meter, so the radius in meters is: r = 3.5 cm / 100 = 0.035 m.
Next, we need to find the volume of the cylindrical pipe. The height is given as 1 meter: h = 1 m.
Now, we can substitute the values into the formula to calculate the volume: V = π * (0.035 m)^2 * 1 m.
Using the value of π as approximately 3.14159, we can calculate: V ≈ 3.14159 * (0.035)^2 * 1.
This simplifies to: V ≈ 3.14159 * 0.001225 * 1.
Finally, multiplying these values, we get: V ≈ 0.0038347 m^3.
Now to convert the volume to liters, we know that 1 cubic meter (m^3) is equal to 1000 liters.
Therefore, the volume of water the cylindrical pipe can hold is approximately 0.0038347 m^3 * 1000 = 3.8347 liters.
So, a cylindrical pipe that is 1 meter long and 7 cm in diameter can hold approximately 3.8347 liters of water.