Question

The daimeter of a roller is 84cm and its length is 120cm.it takes 500 complete revolution to roll once over the playground to level.find the area of the play ground in m2

Answer 1

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Diameter of roller =84cm.

Radius of roller (r) =84/2=42cm.

Length of roller (h) =120cm.

Area covered by roller in 1 revolution =

The Lateral Surface Area(LSA) of the roller

Area covered in 1 revolution:-

=>2πrh

$= > 2 \times \frac{22}{7} \times 42 \times 120 \\ = > 2 \times 22 \times 6 \times 120 \\ = > 31680 {cm}^{2}$

Area of the playground=500× LSA of the roller

Area of playground=500×31680cm²

=15840000cm²

Area of playground in m²:-

$=>\frac{ 15840000}{ 100 \times 100 } {m}^{2}$

$=>1584 {m}^{2}$

Area of playground in = 1584m²

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