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 jss2 student

1 answer

The formula for the volume of a cylinder is:

V = πr^2h

Where V is the volume, r is the radius (half the diameter), and h is the height (length).

First, we need to convert the diameter of 7cm to a radius of 3.5cm (since radius = diameter/2).

So,

r = 3.5cm

h = 100cm (since the pipe is 1m long)

π = 22/7

Now we can plug in the values and calculate the volume:

V = (22/7) x (3.5cm)^2 x 100cm

V = 38,465 cm^3

But we want the volume in liters, so we need to convert cm^3 to liters.

1 liter = 1000 cm^3

So,

V = 38,465 cm^3 * (1 liter/1000 cm^3)

V = 38.465 liters

Therefore, the cylindrical pipe will hold approximately 38.465 liters of water.