A roller takes 500 complete revolution to level a playground find the cost of levelling the ground at the rate of 75 paise per sq meter if the diameter and length of the roller are 84 cm and 120 cm respectively
Answers
Answer:
A roller takes 500 complete revolution to level a playground find the cost of levelling the ground at the rate of 75 paise per sq meter if the diameter and length of the roller are 84 cm and 120 cm respectively
Step-by-step explanation:
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Given:-
★ A roller takes 500 complete revolutions to level a playground.
★ Length of roller (l) = 120 cm =1.2 m
★Diameter of roller (d) = 84 cm = 0.84 m
To Find :-
★ What is the cost of levelling the ground?
Solution :-
Given that,
Diameter of roller (d) = 0.84 m
Therefore,
Radius = Diameter /2
⟹ Radius = 0.84/ 2
⟹ Radius = 0.42 m
We know,
☞ CSA of roller area = 2πrh
Substituting the values, we get
CSA of roller area = 2πrh
= 2 ×3.1416 × 0.42 × 1.2
= 3.168 m²
Hence,
Area levelled by roller in 1 revolution = 3.168 m²
Area levelled by roller in 500 revolution
=500 × 3.168 m²
= 1584 m²
Therefore,
cost of levelling at 0.75 per m²
= 0.75 × 1584
= 1188
Hence,
The cost of levelling the ground is = 1188