From a rectangle with sides 5 cm and 8 cm long, it rotates around its large side.

From a rectangle with sides 5 cm and 8 cm long, it rotates around its large side. Find the total surface area and volume of the resulting body of revolution.

As we understand, based on the conditions of our task, the figure obtained as a result of rotation will be a cylinder, in which the radius of the base will be 5 cm, while the height will be 8 cm.

To begin with, let’s determine what, in this case, the total surface of the resulting cylinder will be equal to:

S = 2πr * (h + r);

2 * 3.14 * 5 * (8 + 5) = 408.2.

Now let’s determine what the volume of the figure will be equal to in this case.

V = πr ^ 2h;

3.14 * 25 * 8 = 628.

Answer: The surface area is 408.2 cm2, and the volume is 628 cm3.