Question

Diameter of roller is 42 cm length is 120cm it takes 500 complete revolutions to move once to land on a playground. Find the area of playground

Answer 1

Answer:

792 × 10⁴ cm²

Step-by-step explanation:

Given : Diameter of roller, d = 42 cm

Length of roller, h = 120 cm

From the given information, we can calculate the radius of the roller,

→ r = $\sf{{\dfrac{d}{2}}}$

→ r = $\sf{{\dfrac{42}{2}}}$

→ r = 21 cm

Now,

Area covered by the roller in one revolution = Curved surface area of the roller

= 2πrh

= 2 × $\sf{{\dfrac{22}{7}}}$ × 21 × 120

= 15840 cm²

Total area covered in 500 revolutions = 500 × Area covered in one revolution

= 500 × 15840

= 792 × 10⁴ cm²

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