The base area of the cylinder is 4п, and the diagonal of the axial section is 5. Find the volume of the cylinder.

1. Knowing the area of the base, we find its radius:

Sop = π * R2;

Sop = π * 4;

π * R2 = π * 4, hence R = 2.

2. To find the volume of a cylinder, you need to find its height. The height will be one of the sides of a right-angled triangle (the other two sides are the diameter of the base and the diagonal of the axial section).

H2 = 52 – (2 * 2) 2;

H2 = 25 – 16;

H2 = 9;

H = 3.

3. Find the volume of the cylinder.

V = Ssc * H = π * R2 * H = π * 22 * 3 = 12π.