Find the volume of a cylinder with a height of 6 cm and a base diameter of 3 cm.

The volume of a cylinder can be calculated by multiplying its base area by its height:

V = Sb. H.

Since the base of the cylinder is a circle, the area is calculated using the formula for the area of a circle:

Sosn. = πr ^ 2.

Thus, the formula can be composed as follows:

V = πr ^ 2h.

The radius of the circle is half its diameter, so:

r = d / 2;

r = 3/2 = 1.5 cm.

Now let’s find the volume of our cylinder:

V = 3.14 · 1.52 · 6 = 3.14 · 2.25 · 6 = 42.39 cm3.

Answer: the volume of the cylinder is 42.39 cm3.