# RD Sharma Solutions for Class 8 Maths Chapter 22: Mensuration- III (Surface Area and Volume of a Right Circular Cylinder)

The chapter introduces the shape of the right circular cylinder. A right circular cylinder can be formed by rotating a rectangle along its side. The figure has a circular base and a curved body that extends straight for any height. The area of cross-section of the figure is a circle, and the area of cross-section is constant throughout the height.

The surface area of a cylinder with a height of h and a radius of its circular base of r is calculated using the formula 2 x pi x r (r + h).

If a cylinder has a height of h and a radius of r in its circular area, its volume equals πr2h. The most basic method to understand this is that volume is given by the area of cross-section multiplied by height, where r is the cylinder's circular base radius, and h is its height.

The chapter further includes the derivation of a formula related to a hollow cylinder. Stepwise derivation, along with the comparison, is provided in the book. The book has more than enough questions to help students learn about this chapter. The formulas related to the surface area, lateral surface area, and volume are mathematically derived in an easy-to-understand manner. Numerous practical applications are also mentioned for a better comprehension of this topic. Questions related to hollow pipes and the rate of flow of liquid through them are some of the examples of questions mentioned in the chapter. For solutions to all these questions, you can refer to the RD Sharma solutions.