Cylinder
A cylinder is a three-dimensional shape with two round shapes at either end and two parallel lines connecting the round ends. Bases are always parallel and congruent to each other.
Volume of Cylinder:
Volume of Cylinder is defined as the total space occupied by the cylinder. The volume is denoted as “V”. It is measured in terms of cubic units.
Volume V= πr2h
Example:
find the volume of a cylinder that has the radius 3 cm and height 5 cm.
Solution:
V = π ( 3²) 5
= π ( 9 ) 5
= (3. 14) (45)
= 141.30 cm³
Curved Surface Area of Cylinder:
Curved Surface Area is the area of all the curved regions
Curved surface Area= 2πrh
Example:
Consider a curved surface area of a cylinder having height of 5 cm and diameter of base to be 2 cm.
Solution:
C.S.A. = 2πrh = 2π × 1 × 5 = 10π
Total surface Area of Cylinder:
Total Surface Area is the area of all the surfaces including the base of a 3D object
Total surface Area= 2πr( r + h )
Example:
Find the total surface area of the cylinder, whose radius is 5cm and height is 10cm?
Solution:
T.S.A = 2π × 5(5 + 10)
= 2π × 5(15)
= 2π × 75
= 150 × 3.14
= 471 cm2
Properties of Cylinder:
- A cylinder has only one curved side.
- A cylinder has two identical flat ends that are circular or elliptical.
- The bases are always congruent and parallel.
- It is similar to the prism since it has the same cross-section everywhere.