Lateral Surface Area of a Cylinder
Lateral Surface Area of a Cylinder
Lateral surface area of cylinder: The curved surface joining the two bases of a right circular cylinder is called its lateral surface.
The lateral surface area of cylinder =
Illustration: The curved surface area of a right circular cylinder of height 14 cm is . Find the diameter of the base of the cylinder.
Solution: Let r be the radius and h be the height of the cylinder.
Then,
then r = 1 cm
Diameter of cylinder = 2 cm
Illustration: The diameter of a roller 120 cm long is 84 cm. If it takes 500 complete revolutions to level a playground, determine the cost of levelling it at the rate of 30 paise per square meter .
Solution: Clearly, the roller is a right circular cylinder of height h = 120 cm and radius of its base = r = 42 cm
So, area covered by the roller in one revolution = Curved surface area of the roller
So, area covered by the roller is 500 revolutions
Hence, the cost of levelling the playground =
If 'a' and 'b' are the radius of the base and height respectively, of a cylinder, then which of the following expressions represents the ratio of its curved surface area to the total surface area? | |||
| Right Option : B | |||
| View Explanation | |||
The radius of a cylinder is doubled but its lateral surface area is unchanged, then its height must be: | |||
| Right Option : B | |||
| View Explanation | |||
The curved surface area of a right circular cylinder of height 14 cm is 88 cm sq. Find the diameter of the base of the cylinder. | |||
| Right Option : B | |||
| View Explanation | |||
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