The base radius and the height of the cylinder are equal to 4cm. calculate its volume and surface.

Determine the volume of the cylinder by the formula: V = π x R ^ 2 x h.

Where:

R is the radius of the base of the circle of the cylinder.

h is the height of the cylinder.

V = π x 4 ^ 2 x 4 = (64 x π) cm3.

The area of a cylinder is equal to the sum of the lateral surface and two areas of its base.

Cylinder lateral surface area:

Side = 2 x π x R x h = 2 x π x 4 x 4 = 32 x π.

The area of the two bases of the cylinder:

Sb = 2 x π x R ^ 2 = 2 x π x 4 ^ 2 = 32 x π.

Cylinder full surface area:

S = Sside + Sbn = 32π + 32π = (64 x π) cm2.

Answer: The volume of the cylinder is (64 x π) cm3.

The area of the cylinder is (64 x π) cm2.