A cylinder is a three-dimensional solid, whose circular base & top are parallel to each other. The perpendicular distance between the top and the base is defined as the total height of the cylinder.
Area of a cylinder- Area of a cylinder is defined as space or region occupied by the cylinder. This area can be of two types:
Curved Surface Area- The curved surface area is defined as the area of only curved surface, leaving the circular top and base.
Total Surface Area- It is the area of the curved surface as well as the bases.
Formula for calculating the Curved Surface Area (C.S.A.)-
Consider a cylinder having a height ‘h’ and base radius ‘r’.
The curved surface area of a cylinder is given as-
Example- Consider a curved surface area of a cylinder having height of 5 cm and diameter of base to be 2 cm.
Solution- Given h = 5 cm, and d = 2 cm,
thus r = 1 cm
Example- Given the C.S.A. of a cylinder to be , and the height to be equal to twice the radius of the base. Find the radius and height of a cylinder.
Solution- Given C.S.A. =
Putting the value of h=2r, we have
And h = 2r = 7cm
Thus h = 7 cm and r = 3.5 cm