A diameter of a roller is 0.84m and its length is 1.2m, It takes 200 complete revolutions to move once over to level a playground. Find the area of the playground in m². jo answer dega 80 points dunga
Answers
Required Answer:-
Imagine the situation given here...
The roller is in the shape of a cylinder and it is rolling in a playground. The total area of the playground will be the total curved surface area of the cylinder × no. of revolutions taken.
GiveN:-
- Diameter of roller = 0.84 m (r = 0.42 m)
- Length of roller = 1.2 m
- No. of complete revolutions = 200
To FinD:-
- Total area of the playground
Solution:-
In 1 revolution, it will cover the part of area of playground = curved surface area of the roller. And the CSA of cylinder is given by 2πrh
Plugging the values,
= 2πrh
= 2 × 22/7 × 42/100 × 12/10 m²
= 3.168 m²
Total area covered:
= Area covered in 1 revolution × No. of revolutions
= 3.168 m² × 200
= 633.60 m²
Hence:-
- Total area of the playground covered by the roller is given by 633.60 m²
Answer:
Given :-
Diameter = 0.84 m
Length = 1.2 m
Revolution = 200
To Find :-
Area
Solution :-
Radius = Diameter/2
Radius = 0.84/2
Radius = 0.42 m
Now
We will find its CSA
CSA = 2πrh
CSA = 2 × 22/7 × 0.42 × 1.2
CSA = 44/7 × 0.504
CSA = 22.176/7
CSA = 3.168 m²
Area covered = 200 × 3.168
Area covered = 633.6 m²