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 =
The diameter of roller 1.5 m long is 84 cm. If it takes 100 revolutions to level a playground, find the cost of traveling this ground at the rate of 50 paise per sq m. | |||
| Right Option : D | |||
| 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 | |||
Savitri had to make a model of cylindrical Kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What should be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 25 cm with a 3.5 cm radius? | |||
| Right Option : B | |||
| View Explanation | |||
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