The diameter of a roller is 84cm and its length is 120cm It takes 500 complete revolutions to move - Maths - Mensuration

Question

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 m 2

Gursheen kaur. · Accepted Answer

Given: diameter , d= 84cm and its length , h= 120cm

Since a roller is in cylindrical shape.

Height (h) of cylindrical roller = Length of roller = 120 cm

Radius (r) of the circular end of roller = $\frac{d}{2} = \frac{84}{2} = 42 c m$

CSA of roller = 2πrh

$2 \times \frac{22}{7} \times 42 \times 120 = 31680 {c m}^{2}$

∴Area of field = 500 × CSA of roller

= (500 × 31680) cm²

= 15840000 cm²

= 1584 m²

Thus, area of the playground = 1584 m²

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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 m 2 .

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 .