The diameter of a roller is 84cm and its length is 120 cm It takes 500 complete revolutions to make once to level a playground find the area of the playgroundin m squre
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Step-by-step explanation:
Given :
Diameter of roller = 84 cm
length [ height (h) ] = 120 cm
Radius of the roller =
Radius (r) of roller = = 42cm
We know that,
Curved Surface Area (CSA) of cylinder (roller)
= 2πrh
= 2 × × 42 × 120
= 31680 cm²
Now,
CSA = 1 revolution
=> 31680 cm² = 1 revolution
According to the question,
the roller takes 500 complete revolutions to roll once over that playground.
So,
area of playground = 500 × 31680 = 15840000cm²
Area in m² = m² = 1584
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