a cylindrical roller 2.5m in lenght 1.75m in radius when rolled on road was found to cover the area of 5500m^2 how many revolution did it take
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Given :-
- Length of cylindrical roller (h) = 2.5m
- Radius of roller (r) = 1.75m
- Total surface area of cylinder = 5500m²
To find :-
- Number of revolution
Solution :-
Curved surface area of cylinder
→ 2πrh
→ 2 × 22/7 × 1.75 × 2.5
→ 2 × 22 × 0.25 × 2.5
→ 44 × 0.625
→ 27.5 m²
One revolution = Curved surface area of cylinder
Now, total number of revolution
→ total surface area of roller/curved surface area of roller
→ 5500/27.5
→ 200
Hence,
- Total number of revolution is 200
Extra Information :-
- Volume of cylinder = πr²h
- T.S.A of cylinder = 2πrh + 2πr²
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
- Volume of cuboid = l × b × h
- C.S.A of cuboid = 2(l + b)h
- T.S.A of cuboid = 2(lb + bh + lh)
- C.S.A of cube = 4a²
- T.S.A of cube = 6a²
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Surface area of sphere = 4πr²
- Volume of hemisphere = ⅔ πr³
- C.S.A of hemisphere = 2πr²
- T.S.A of hemisphere = 3πr²
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