ICSE Class 8 Answered
The diameter of a 120 cm long roller is 84 cm. If it takes 1000 complete revolutions to level a playground having breadth of 32 m, find the length of the playground.
Asked by Cl_narayan | 17 Jul, 2019, 04:23: PM
Expert Answer
Radius of the roller = diameter ÷ 2 = 84 ÷ 2 = 42 cm
Length of the roller = 120 cm
Curved Surface Area of the Roller (Cylindrical shape) = 
Therefore the area covered by the roller in one revolution = 31680 cm2
Therefore the area covered by the roller in 1000 revolutions = 31680 × 1000 = 31680000 cm2
Therefore the area of the play ground = 31680000 cm2 = 3168 m2
→ l × b = 3168
→ l × 32 = 3168
→ l = 99 m
Answered by Yasmeen Khan | 17 Jul, 2019, 06:22: PM
ICSE 8 - Maths
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