A rectangle with sides of 4 cm and 10 cm rotates around the smaller side.

A rectangle with sides of 4 cm and 10 cm rotates around the smaller side. determine the resulting geometric body and calculate its volume.

The shape obtained by rotating the rectangle is a cylinder. If the cylinder is obtained by rotating around a side equal to 4 cm, then the height of the cylinder is H = 4 cm = 0.04 m, and the second side of this rectangle is the radius of the base of the cylinder R = 10 cm = 0.1 m. The volume of the cylinder V is found by the formula:

V = πR ^ 2H = 3.14 * (0.1) ^ 2 * 0.04 = 0.001256 m3 = 1256 cm3.