Question

the diameter of a roller is 84cm and its length is 120CM it takes 500 complete Revolution to move once over to level a playground find the area of the playground in metre square

Answer 1

this much is required... hope u got it

Answer 2

✯✯ QUESTION ✯✯

The diameter of a roller is 84cm and its length is 120cm it takes 500 complete Revolution to move once over to level a playground find the area of the playground in metre square...

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✰✰ ANSWER ✰✰

$\implies\tt{Diameter\:of\:roller=84cm}$

$\implies\tt{Radius\:of\:roller=\cancel\dfrac{84}{2}=42cm}$

$\implies\tt{Height,Length=120cm}$

➮Firstly we will find the area of 1 revolution..

➥Using Formula : -

$\implies\tt{\small{\boxed{\bold{\bold{\orange{\sf{C.S.A\:of\:Cylinder=2\pi{rh}}}}}}}}$

➥Putting Values : -

$\implies\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{42}}\times{120}}$

$\implies\tt{44\times{6}\times{120}}$

$\implies\tt\bold{31680{cm}^{2}}$

➥Now ,

$\implies\tt{Area\:of\:500\:revolutions=31680\times{500}}$

$\implies\tt\bold{15840000{cm}^{2}}$

➮In m² : -

$\implies\tt{\dfrac{15840000}{10000}}$

$\implies\tt\boxed{1584{m}^{2}}$