The volume of a cone with a height of 3 cm and a diameter of 8 cm is equal to ..

A cone is a geometric body formed by rotating a triangle around its leg.
The volume of the cone is the product of one third of the product of the base area by the height:
V = 1/3 * Sosn * N, where:
V is the volume of the cone;
Sosn. – base area;
H – height.
Since the base of the cone is a circle, its area is:
Sosn. = πR2;
R = D / 2;
R = 8/2 = 4 cm;
Sosn. = 3.14 * 4 ^ 2 = 3.14 * 16 = 50.24 cm2.
V = 1/3 * 50.24 * 3 = 50.24 cm3.
Answer: the volume of the cone is 50.24 cm3.