Total Surface Area of Cylinder
Total Surface Area of Cylinder
A Cylinder of radius r and height h. The total surface area or TSA includes area of circular top and base as well as the curved surface area or CSA.
Length of rectangle= Circumference of base =
Breadth of rectangle = h
TSA = Area of base + Area of top + CSA of cylinder
Illustration: A solid cylinder has total surface area of 462 Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.
Solution: Given: Curved surface area
...................(i)
Now, given that total surface area = 462
Curved surface area
Using equation (i0, we have
As
So,
Hence height of cylinder = 3.5 cm
Using equation (i), we have
and radius of cylinder = r = 2h
= 7 cm
The students of a school were asked to participate in a competition for making and decorating pen holders in the shape of a cylinder with the base, using cardboard. Each pen holder was to be of radius 3 cm and height 10.5 cm. The school was to supply the competitors with cardboard. If there were 35 competitors, how much card board was required to be bought for the competition? (in sq cm) | |||
| Right Option : C | |||
| View Explanation | |||
A metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its total curved surface area. | |||
| Right Option : A | |||
| View Explanation | |||
If the curved surface area and the radius of a base of a cylinder are 8.8 cm sq and 0.7 cm respectively, then the height of cylinder is _____________ | |||
| Right Option : D | |||
| View Explanation | |||
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