. The diameter of a roller is 84cm and its length is 120cm


It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in m2.

Best Answer

Explanation:

Diameter of the cylinder = 84 cm 

Radius of the cylinder = d/2=84/2=42cm=0.42m

Height of the cylinder = 120 cm = 1.2 m

Number of revolutions = 500

CSA (curved surface area) of cylinder is 2πrh

⇒2×22/7×0.42×1.2

⇒3.168m2

The area of the playground = The curved surface area of a cylinder x revolutions done by the roller

Therefore, 

The area of the playground 

3.168×500

⇒1584m2

Final Answer:

The area of the playground = 1584 m2

 

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