How many liters of water will a cylindercal pipe hold if it is 1m long and 7cm in diameter?use pie as22/7
First, we need to find the volume of the cylinder:
radius = diameter/2 = 7cm/2 = 3.5cm
height = 1m = 100cm
volume = π * radius^2 * height
volume = 22/7 * 3.5^2 * 100
volume = 38,500 cm^3
To convert this to liters, we divide by 1000:
volume = 38,500 cm^3 ÷ 1000 = 38.5 liters
Therefore, the cylindrical pipe will hold 38.5 liters of water.
Volume: Pi*radius^2*h (1m = 100cm)
<=> 22/7*(7:2)^2*100 = 3850 (cm3)
=> It can hold 3850 ml = 3.85 liters
Thank you, the answer is indeed 3.85 liters.
To find the volume of water the cylindrical pipe will hold, we need to use the formula for the volume of a cylinder. The formula is:
Volume = π * r^2 * h
Where:
- π is the mathematical constant Pi, which is approximately 3.14159 (or you can use 22/7 as an approximation)
- r is the radius of the cylinder
- h is the height (or length) of the cylinder
In this case, we have a cylinder that is 1 meter long and has a diameter of 7 cm.
First, we need to find the radius of the cylinder. The radius is half the diameter. So, the radius would be 7 cm (diameter) / 2 = 3.5 cm.
However, the formula requires the radius to be in the same units as the height, which is in meters in this case. So we need to convert the radius from centimeters to meters.
1 meter is equal to 100 centimeters. Therefore, 3.5 cm = 3.5 cm / 100 = 0.035 meters.
Now we can plug in the values into the formula:
Volume = π * (0.035)^2 * 1
Using the value of π as 22/7:
Volume = (22/7) * (0.035)^2 * 1
To calculate this, we need to perform the calculations in the order of operations (exponentiation first, followed by multiplication):
Volume = (22/7) * (0.001225) * 1
Now, multiply the numbers:
Volume ≈ 0.004364286 liters
Therefore, the cylindrical pipe will hold approximately 0.004364286 liters of water.