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
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 | |||
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 diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is ______________ | |||
| Right Option : B | |||
| View Explanation | |||
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