Surface Area of Cylinders
(1) Right Circular Cylinder
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Curved surface area = the perimeter x the height of the cylinder, i.e.
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The area of each of the flat surfaces, i.e. of the ends,
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The total surface area
Example:
Find the height of the solid circular cylinder if the total surface area is 600 sq.cm and the radius is 5cm.
Solution:
Here cm
Total surface area
Or
Or
Or
cm
Example:
A cylindrical vessel without a lid has to be coated on both its sides. If the radius of its base is m and its height is 1.4m, calculate the cost of tin coating at the rate of $2.25 per 1000 sq.cm.
Solution:
Given that
Radius of the base of cylindrical vessel,
Height,
Area to be tin coated
sq.cm
Now, the cost of tin coating per 1000sq.cm = $2.25
Total cost of tin coating
dollars
(2) Hollow Circular Cylinder
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Curved surface area
-
Total surface area
(3) Elliptic Cylinder
A cylinder with a base which is an ellipse is called an elliptic cylinder. If and
are the semi-major axis and semi-minor axis and
is the height, then
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Volume
-
Curved surface area
-
Total surface area