How many liters of water will a cylindercal pipe hold if it is 1m long and 7cm in diameter?use pie as 22/7 for a jss2 student
We can start by finding the volume of the cylinder, using the formula:
Volume = πr^2h
where π (pi) is approximately 22/7, r is the radius of the cylinder, and h is the height (or length) of the cylinder.
Firstly, we need to convert the diameter (7cm) to radius by dividing it by 2:
radius = diameter/2 = 7cm/2 = 3.5cm
Next, we need to convert the radius to meters (since the height is given in meters), by dividing it by 100:
radius = 3.5cm ÷ 100 = 0.035m
Now we can plug in the values into the formula:
Volume = πr^2h = (22/7) x (0.035m)^2 x 1m
Simplifying and calculating, we get:
Volume = 0.00485 cubic meters
Finally, we can convert this volume to liters by multiplying by 1000 (since 1 cubic meter = 1000 liters):
Volume = 0.00485 x 1000 = 4.85 liters
Therefore, the cylindrical pipe will hold approximately 4.85 liters of water.