Lesson OVERVIEW of LESSONS on Surface Area of CYLINDERS

OVERVIEW of LESSONS on Surface Area of Cylinders

Major notions related to the surface area of cylinders

Figure 1a. Cylinder           (general definition)

Figure 1b. Right circular                     cylinder

Figure 1c. Right circular cylinder                         and its flattening

Figure 1d. Flattening and the net of the       surface of a right circular cylinder

Major formulas for calculating the surface area of cylinders

1.  The lateral surface area of a cylinder  is   =  ,      where    is the radius of the cylinder and    is its height. 2.  The total surface area  S  of a cylinder  is   = + = + = *(  ),      where    is the lateral surface area of the cylinder and    is the cylinder base area.

(1)       (2)

My lessons on surface area of cylinders in this site

Solved problems on surface area of cylinders

- Find the lateral surface area of a cylinder if the rectangular axial section of the cylinder has the area   = 100 .                       - Find the lateral surface area of a cylinder if the rectangular axial section of the cylinder has the area   = 10 .     - A through cylindrical hole is made in a cone along its axis.  The radius of the base of the cone is of  5 cm  and the height of           the cone is of  10 cm.  The diameter of the hole is of  4 cm.  Find the surface area of the hole.     - A through cylindrical hole is made in a cone along its axis.  The radius of the base of the cone is of  5 cm  and the height of           the cone is of  10 cm.  The diameter of the hole is of  2 cm.  Find the surface area of the hole.

- A through cylindrical hole is made in a spherical solid body  (in a ball)  along its diameter.  The radius of the ball is of  5 cm                      and the diameter of the hole is of  4 cm.  Find the surface area of the hole.     - A through cylindrical hole is made in a spherical solid body  (in a ball)  along its diameter.  The radius of the ball is of  5 cm           and the diameter of the hole is of  2 cm.  Find the surface area of the hole.

- Two cylinders are joined in a way that the base of one cylinder is overposed on the base of the other.           The radius of one cylinder is  5 cm  and the height is  2 cm.           The radius of the other cylinder is  2 cm  and the height is  5 cm.  Find the surface area of the combined body.                          - Two cylinders are joined in a way that the base of one cylinder is overposed on the base of the other.           The radius of one cylinder is  5 cm  and the height is  2 cm.           The radius of the other cylinder is  1 cm  and the height is  5 cm.  Find the surface area of the combined body.