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 =
A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the pillar at the rate of 12.50 per sq m. | |||
| Right Option : C | |||
| View Explanation | |||
The diameter of a roller 150 cm long is 74 cm. If it takes 300 complete revolutions to level a playground, determine the cost of leveling it at the rate of 25 paise per square meter . | |||
| Right Option : B | |||
| View Explanation | |||
Curved surface area of a right circular cylinder is 4.4 sq m. If the radius of the base of the cylinder is 0.7 m, find its height. | |||
| Right Option : C | |||
| View Explanation | |||
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