Cylinder base diameter 10 cm, height 6 cm. Calculate total surface area and volume.

Determine the area of the base of the cylinder.

Sb = π * R ^ 2 = π * 25 cm2.

Let us determine the area of the lateral surface of the cylinder.

Side = 2 * π * R * AB = 2 * π * 5 * 6 = 60 * π cm2.

Then the total surface area of the cylinder is:

Sпов = 2 * Sсн + Sside = 2 * π * 25 + 60 * π = 110 * π cm2.

Determine the volume of the cylinder.

V = Sbn * AB = π * 25 * 6 = 150 * π cm3.

Answer: The total surface area is 110 * π cm2, the volume is 150 * π cm3.