How long should a pipe with a diameter of 2.5 cm (inner diameter) be so that it can hold 4 liters of water?

To solve this problem, you must first convert the specified volume of water from liters to cubic centimeters.

Since in 1 liter – 1000 cm3, we get:

4 * 1000 = 4000 cm3

The radius is half the diameter, so it will be:

2.5 / 2 = 1.25 cm.

To determine the height of the pipe, we use the formula for determining the volume of a cylinder, namely:

V = P * r2 * H,

where:

V is the volume of the cylinder (4000 cm3).

P is a constant number (3.14).

r is the inner radius of the pipe (1.25 cm).

H is the length of the pipe.

Substituting the values into the formula.

4000 = 3.14 * 1.252 * H.

4000 / (4.90625) = H /

H = 815.2866 cm.

Answer:

Pipe length 815.3 cm.