# Surface Area of a Right Circular Cylinder

**Surface Area of a Right Circular Cylinder**Â

Â

Area of the curved surfaceÂ of cylinder = circumference Â´ height = 2prh sq. units

Area of each circular bases = pr^{2} sq. units

Total surface area of a cylinder = Area of curved surface + Area of two circular ends

= 2prh + 2pr^{2} sq. units

= 2pr(r + h) sq. units.Â where h is the height of the cylinder and r its radius. Here is an irrational number and when we use in our calculations , we usually take its value as approximately equal to or 3.14

Â

Find the curved surface area, total surface area and volume of a cylinder of diameter 7 cm and height 80 cm.

Use , unless stated otherwise

Â

Diameter of the base = 7 cmÂ

ÃžÂ r = 3.5 cmÂ

Height of the cylinder = 80 cm = h

Curved surface area = 2prh sq.units

= 2 Â´ Â´ 3.5 x 80

Curved surface of a cylinder= 1760 cm^{2}

Total surface area = 2pr(r + h) sq.units

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2 Â´ Â´ 3.5(3.5 + 80)

Total surface of the cylinder= 1837 cm^{2 }

^{Volume = cubic units}

^{Volume of the cylinder= 3080}