the diameter of a soller is 84cm and its length is 120 cm it takes 500 complete revolution to move once over to level a playground. find the area of the playground in m2
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105840 π m²
Explanation:-
•Diameter of a roller=84 cm
•Radius of a roller =84/2cm =42cm
•Length of the roller ( h )=120 cm
We know that roller is in the form of cylinder, thus we have to find curved surface area of cylinder.
CSA of cylinder =πr²h
CSA of cylinder =π 42×42×120 cm³
CSA of cylinder =211680π
The roller takes 500 rounds , therefore
==>500×211680 π cm²
==>105,840,000 π cm²
==>105840π m²
Therefore, Total area of the playground on which roller has revolved=105840π m²
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ADDITIONAL INFORMATION:-
1.Volume of cylinder= πr²h cubic.unit
2.C•S•A of cylinder =2 πrh sq.unit
3.T•S•A of cylinder = 2πr ( h+ r) sq.unit
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